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Finding the Fourth Proportional to 337,264.73, 465,472.80 and 214,717.96

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Solution

The fourth proportional to 337,264.73, 465,472.80 and 214,717.96 is: 296,341.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,264.73 : 465,472.80 = 214,717.96 : x
  2. Step 2: Convert to fraction form
    337,264.73/465,472.80 = 214,717.96/x
  3. Step 3: Cross multiply
    337,264.73x = 465,472.80 × 214,717.96
  4. Step 4: Simplify right side
    337,264.73x = 99,945,369,223.89
  5. Step 5: Solve for x
    x = 99,945,369,223.89/337,264.73
  6. Step 6: Final answer
    x = 296,341.00

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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.