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Finding the Fourth Proportional to 461,169.68, 687,169.90 and 410,863.22

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Solution

The fourth proportional to 461,169.68, 687,169.90 and 410,863.22 is: 612,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,169.68 : 687,169.90 = 410,863.22 : x
  2. Step 2: Convert to fraction form
    461,169.68/687,169.90 = 410,863.22/x
  3. Step 3: Cross multiply
    461,169.68x = 687,169.90 × 410,863.22
  4. Step 4: Simplify right side
    461,169.68x = 282,332,837,801.08
  5. Step 5: Solve for x
    x = 282,332,837,801.08/461,169.68
  6. Step 6: Final answer
    x = 612,210.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.