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Finding the Fourth Proportional to 488,903.10, 733,354.65 and 441,663.90

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Solution

The fourth proportional to 488,903.10, 733,354.65 and 441,663.90 is: 662,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,903.10 : 733,354.65 = 441,663.90 : x
  2. Step 2: Convert to fraction form
    488,903.10/733,354.65 = 441,663.90/x
  3. Step 3: Cross multiply
    488,903.10x = 733,354.65 × 441,663.90
  4. Step 4: Simplify right side
    488,903.10x = 323,896,274,802.14
  5. Step 5: Solve for x
    x = 323,896,274,802.14/488,903.10
  6. Step 6: Final answer
    x = 662,495.85

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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.