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Finding the Fourth Proportional to 488,582.70, 733,046.85 and 471,302.70

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Solution

The fourth proportional to 488,582.70, 733,046.85 and 471,302.70 is: 707,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,582.70 : 733,046.85 = 471,302.70 : x
  2. Step 2: Convert to fraction form
    488,582.70/733,046.85 = 471,302.70/x
  3. Step 3: Cross multiply
    488,582.70x = 733,046.85 × 471,302.70
  4. Step 4: Simplify right side
    488,582.70x = 345,486,959,631.50
  5. Step 5: Solve for x
    x = 345,486,959,631.50/488,582.70
  6. Step 6: Final answer
    x = 707,120.74

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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.