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Finding the Fourth Proportional to 488,046.20, 732,069.30 and 411,063.80

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Solution

The fourth proportional to 488,046.20, 732,069.30 and 411,063.80 is: 616,595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,046.20 : 732,069.30 = 411,063.80 : x
  2. Step 2: Convert to fraction form
    488,046.20/732,069.30 = 411,063.80/x
  3. Step 3: Cross multiply
    488,046.20x = 732,069.30 × 411,063.80
  4. Step 4: Simplify right side
    488,046.20x = 300,927,188,321.34
  5. Step 5: Solve for x
    x = 300,927,188,321.34/488,046.20
  6. Step 6: Final answer
    x = 616,595.70

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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.