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Finding the Fourth Proportional to 863,314.38, 1,293,863.34 and 413,361

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Solution

The fourth proportional to 863,314.38, 1,293,863.34 and 413,361 is: 619,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,314.38 : 1,293,863.34 = 413,361 : x
  2. Step 2: Convert to fraction form
    863,314.38/1,293,863.34 = 413,361/x
  3. Step 3: Cross multiply
    863,314.38x = 1,293,863.34 × 413,361
  4. Step 4: Simplify right side
    863,314.38x = 534,832,644,085.74
  5. Step 5: Solve for x
    x = 534,832,644,085.74/863,314.38
  6. Step 6: Final answer
    x = 619,510.87

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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.