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Finding the Fourth Proportional to 473,584.12, 653,576.24 and 269,652.85

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Solution

The fourth proportional to 473,584.12, 653,576.24 and 269,652.85 is: 372,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,584.12 : 653,576.24 = 269,652.85 : x
  2. Step 2: Convert to fraction form
    473,584.12/653,576.24 = 269,652.85/x
  3. Step 3: Cross multiply
    473,584.12x = 653,576.24 × 269,652.85
  4. Step 4: Simplify right side
    473,584.12x = 176,238,694,848.48
  5. Step 5: Solve for x
    x = 176,238,694,848.48/473,584.12
  6. Step 6: Final answer
    x = 372,138.10

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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.