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Finding the Fourth Proportional to 408,854.10, 613,062.45 and 171,929.10

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Solution

The fourth proportional to 408,854.10, 613,062.45 and 171,929.10 is: 257,801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,854.10 : 613,062.45 = 171,929.10 : x
  2. Step 2: Convert to fraction form
    408,854.10/613,062.45 = 171,929.10/x
  3. Step 3: Cross multiply
    408,854.10x = 613,062.45 × 171,929.10
  4. Step 4: Simplify right side
    408,854.10x = 105,403,275,272.30
  5. Step 5: Solve for x
    x = 105,403,275,272.30/408,854.10
  6. Step 6: Final answer
    x = 257,801.68

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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.