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Finding the Fourth Proportional to 424,171.52, 585,125.12 and 260,739.20

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Solution

The fourth proportional to 424,171.52, 585,125.12 and 260,739.20 is: 359,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,171.52 : 585,125.12 = 260,739.20 : x
  2. Step 2: Convert to fraction form
    424,171.52/585,125.12 = 260,739.20/x
  3. Step 3: Cross multiply
    424,171.52x = 585,125.12 × 260,739.20
  4. Step 4: Simplify right side
    424,171.52x = 152,565,055,688.70
  5. Step 5: Solve for x
    x = 152,565,055,688.70/424,171.52
  6. Step 6: Final answer
    x = 359,677.74

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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.