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Finding the Fourth Proportional to 584,714.81, 806,906.45 and 316,442.81

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Solution

The fourth proportional to 584,714.81, 806,906.45 and 316,442.81 is: 436,691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,714.81 : 806,906.45 = 316,442.81 : x
  2. Step 2: Convert to fraction form
    584,714.81/806,906.45 = 316,442.81/x
  3. Step 3: Cross multiply
    584,714.81x = 806,906.45 × 316,442.81
  4. Step 4: Simplify right side
    584,714.81x = 255,339,747,253.50
  5. Step 5: Solve for x
    x = 255,339,747,253.50/584,714.81
  6. Step 6: Final answer
    x = 436,691.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.