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Finding the Fourth Proportional to 464,257.96, 695,490.24 and 342,463.92

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Solution

The fourth proportional to 464,257.96, 695,490.24 and 342,463.92 is: 513,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,257.96 : 695,490.24 = 342,463.92 : x
  2. Step 2: Convert to fraction form
    464,257.96/695,490.24 = 342,463.92/x
  3. Step 3: Cross multiply
    464,257.96x = 695,490.24 × 342,463.92
  4. Step 4: Simplify right side
    464,257.96x = 238,180,313,912.14
  5. Step 5: Solve for x
    x = 238,180,313,912.14/464,257.96
  6. Step 6: Final answer
    x = 513,034.42

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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.