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Finding the Fourth Proportional to 466,269.70, 699,404.55 and 413,781.70

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Solution

The fourth proportional to 466,269.70, 699,404.55 and 413,781.70 is: 620,672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,269.70 : 699,404.55 = 413,781.70 : x
  2. Step 2: Convert to fraction form
    466,269.70/699,404.55 = 413,781.70/x
  3. Step 3: Cross multiply
    466,269.70x = 699,404.55 × 413,781.70
  4. Step 4: Simplify right side
    466,269.70x = 289,400,803,686.74
  5. Step 5: Solve for x
    x = 289,400,803,686.74/466,269.70
  6. Step 6: Final answer
    x = 620,672.55

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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.