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Finding the Fourth Proportional to 497,713.60, 748,413.60 and 416,612.80

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Solution

The fourth proportional to 497,713.60, 748,413.60 and 416,612.80 is: 626,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,713.60 : 748,413.60 = 416,612.80 : x
  2. Step 2: Convert to fraction form
    497,713.60/748,413.60 = 416,612.80/x
  3. Step 3: Cross multiply
    497,713.60x = 748,413.60 × 416,612.80
  4. Step 4: Simplify right side
    497,713.60x = 311,798,685,454.08
  5. Step 5: Solve for x
    x = 311,798,685,454.08/497,713.60
  6. Step 6: Final answer
    x = 626,462.06

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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.