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Finding the Fourth Proportional to 466,458.40, 699,687.60 and 413,005.60

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Solution

The fourth proportional to 466,458.40, 699,687.60 and 413,005.60 is: 619,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,458.40 : 699,687.60 = 413,005.60 : x
  2. Step 2: Convert to fraction form
    466,458.40/699,687.60 = 413,005.60/x
  3. Step 3: Cross multiply
    466,458.40x = 699,687.60 × 413,005.60
  4. Step 4: Simplify right side
    466,458.40x = 288,974,897,050.56
  5. Step 5: Solve for x
    x = 288,974,897,050.56/466,458.40
  6. Step 6: Final answer
    x = 619,508.40

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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.