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Finding the Fourth Proportional to 488,396.80, 731,623.20 and 429,947.20

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Solution

The fourth proportional to 488,396.80, 731,623.20 and 429,947.20 is: 644,065.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,396.80 : 731,623.20 = 429,947.20 : x
  2. Step 2: Convert to fraction form
    488,396.80/731,623.20 = 429,947.20/x
  3. Step 3: Cross multiply
    488,396.80x = 731,623.20 × 429,947.20
  4. Step 4: Simplify right side
    488,396.80x = 314,559,346,295.04
  5. Step 5: Solve for x
    x = 314,559,346,295.04/488,396.80
  6. Step 6: Final answer
    x = 644,065.13

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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.