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Finding the Fourth Proportional to 457,218.34, 685,801.14 and 137,363.36

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Solution

The fourth proportional to 457,218.34, 685,801.14 and 137,363.36 is: 206,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,218.34 : 685,801.14 = 137,363.36 : x
  2. Step 2: Convert to fraction form
    457,218.34/685,801.14 = 137,363.36/x
  3. Step 3: Cross multiply
    457,218.34x = 685,801.14 × 137,363.36
  4. Step 4: Simplify right side
    457,218.34x = 94,203,948,882.23
  5. Step 5: Solve for x
    x = 94,203,948,882.23/457,218.34
  6. Step 6: Final answer
    x = 206,037.12

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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.