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Finding the Fourth Proportional to 465,508.86, 698,569.47 and 255,294.42

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Solution

The fourth proportional to 465,508.86, 698,569.47 and 255,294.42 is: 383,109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,508.86 : 698,569.47 = 255,294.42 : x
  2. Step 2: Convert to fraction form
    465,508.86/698,569.47 = 255,294.42/x
  3. Step 3: Cross multiply
    465,508.86x = 698,569.47 × 255,294.42
  4. Step 4: Simplify right side
    465,508.86x = 178,340,887,673.36
  5. Step 5: Solve for x
    x = 178,340,887,673.36/465,508.86
  6. Step 6: Final answer
    x = 383,109.55

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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.