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Finding the Fourth Proportional to 334,472.78, 501,545.67 and 233,319.31

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Solution

The fourth proportional to 334,472.78, 501,545.67 and 233,319.31 is: 349,864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,472.78 : 501,545.67 = 233,319.31 : x
  2. Step 2: Convert to fraction form
    334,472.78/501,545.67 = 233,319.31/x
  3. Step 3: Cross multiply
    334,472.78x = 501,545.67 × 233,319.31
  4. Step 4: Simplify right side
    334,472.78x = 117,020,289,657.89
  5. Step 5: Solve for x
    x = 117,020,289,657.89/334,472.78
  6. Step 6: Final answer
    x = 349,864.91

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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.