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Finding the Fourth Proportional to 510,145.60, 765,218.40 and 431,413.60

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Solution

The fourth proportional to 510,145.60, 765,218.40 and 431,413.60 is: 647,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,145.60 : 765,218.40 = 431,413.60 : x
  2. Step 2: Convert to fraction form
    510,145.60/765,218.40 = 431,413.60/x
  3. Step 3: Cross multiply
    510,145.60x = 765,218.40 × 431,413.60
  4. Step 4: Simplify right side
    510,145.60x = 330,125,624,730.24
  5. Step 5: Solve for x
    x = 330,125,624,730.24/510,145.60
  6. Step 6: Final answer
    x = 647,120.40

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.