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Finding the Fourth Proportional to 457,842.85, 631,863.08 and 266,852.14

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Solution

The fourth proportional to 457,842.85, 631,863.08 and 266,852.14 is: 368,279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,842.85 : 631,863.08 = 266,852.14 : x
  2. Step 2: Convert to fraction form
    457,842.85/631,863.08 = 266,852.14/x
  3. Step 3: Cross multiply
    457,842.85x = 631,863.08 × 266,852.14
  4. Step 4: Simplify right side
    457,842.85x = 168,614,013,171.77
  5. Step 5: Solve for x
    x = 168,614,013,171.77/457,842.85
  6. Step 6: Final answer
    x = 368,279.23

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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.