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Finding the Fourth Proportional to 466,671.43, 643,306.81 and 380,498.16

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Solution

The fourth proportional to 466,671.43, 643,306.81 and 380,498.16 is: 524,516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,671.43 : 643,306.81 = 380,498.16 : x
  2. Step 2: Convert to fraction form
    466,671.43/643,306.81 = 380,498.16/x
  3. Step 3: Cross multiply
    466,671.43x = 643,306.81 × 380,498.16
  4. Step 4: Simplify right side
    466,671.43x = 244,777,056,076.46
  5. Step 5: Solve for x
    x = 244,777,056,076.46/466,671.43
  6. Step 6: Final answer
    x = 524,516.91

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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.