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Finding the Fourth Proportional to 488,580.20, 733,043.10 and 471,300.20

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Solution

The fourth proportional to 488,580.20, 733,043.10 and 471,300.20 is: 707,116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,580.20 : 733,043.10 = 471,300.20 : x
  2. Step 2: Convert to fraction form
    488,580.20/733,043.10 = 471,300.20/x
  3. Step 3: Cross multiply
    488,580.20x = 733,043.10 × 471,300.20
  4. Step 4: Simplify right side
    488,580.20x = 345,483,359,638.62
  5. Step 5: Solve for x
    x = 345,483,359,638.62/488,580.20
  6. Step 6: Final answer
    x = 707,116.99

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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.