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Finding the Fourth Proportional to 513,689.60, 770,534.40 and 139,712.60

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Solution

The fourth proportional to 513,689.60, 770,534.40 and 139,712.60 is: 209,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,689.60 : 770,534.40 = 139,712.60 : x
  2. Step 2: Convert to fraction form
    513,689.60/770,534.40 = 139,712.60/x
  3. Step 3: Cross multiply
    513,689.60x = 770,534.40 × 139,712.60
  4. Step 4: Simplify right side
    513,689.60x = 107,653,364,413.44
  5. Step 5: Solve for x
    x = 107,653,364,413.44/513,689.60
  6. Step 6: Final answer
    x = 209,568.90

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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.