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Finding the Fourth Proportional to 331,570.70, 497,356.05 and 307,951.10

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Solution

The fourth proportional to 331,570.70, 497,356.05 and 307,951.10 is: 461,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,570.70 : 497,356.05 = 307,951.10 : x
  2. Step 2: Convert to fraction form
    331,570.70/497,356.05 = 307,951.10/x
  3. Step 3: Cross multiply
    331,570.70x = 497,356.05 × 307,951.10
  4. Step 4: Simplify right side
    331,570.70x = 153,161,342,689.16
  5. Step 5: Solve for x
    x = 153,161,342,689.16/331,570.70
  6. Step 6: Final answer
    x = 461,926.65

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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.