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Finding the Fourth Proportional to 518,224.14, 715,171.50 and 288,781.74

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Solution

The fourth proportional to 518,224.14, 715,171.50 and 288,781.74 is: 398,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,224.14 : 715,171.50 = 288,781.74 : x
  2. Step 2: Convert to fraction form
    518,224.14/715,171.50 = 288,781.74/x
  3. Step 3: Cross multiply
    518,224.14x = 715,171.50 × 288,781.74
  4. Step 4: Simplify right side
    518,224.14x = 206,528,470,168.41
  5. Step 5: Solve for x
    x = 206,528,470,168.41/518,224.14
  6. Step 6: Final answer
    x = 398,531.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.