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Finding the Fourth Proportional to 457,121.14, 685,051.12 and 344,677.78

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Solution

The fourth proportional to 457,121.14, 685,051.12 and 344,677.78 is: 516,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,121.14 : 685,051.12 = 344,677.78 : x
  2. Step 2: Convert to fraction form
    457,121.14/685,051.12 = 344,677.78/x
  3. Step 3: Cross multiply
    457,121.14x = 685,051.12 × 344,677.78
  4. Step 4: Simplify right side
    457,121.14x = 236,121,900,515.28
  5. Step 5: Solve for x
    x = 236,121,900,515.28/457,121.14
  6. Step 6: Final answer
    x = 516,541.20

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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.