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Finding the Fourth Proportional to 485,472.17, 670,238.63 and 431,608.12

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Solution

The fourth proportional to 485,472.17, 670,238.63 and 431,608.12 is: 595,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,472.17 : 670,238.63 = 431,608.12 : x
  2. Step 2: Convert to fraction form
    485,472.17/670,238.63 = 431,608.12/x
  3. Step 3: Cross multiply
    485,472.17x = 670,238.63 × 431,608.12
  4. Step 4: Simplify right side
    485,472.17x = 289,280,435,045.68
  5. Step 5: Solve for x
    x = 289,280,435,045.68/485,472.17
  6. Step 6: Final answer
    x = 595,874.39

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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.