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Finding the Fourth Proportional to 473,002.56, 652,690.08 and 271,863.36

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Solution

The fourth proportional to 473,002.56, 652,690.08 and 271,863.36 is: 375,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,002.56 : 652,690.08 = 271,863.36 : x
  2. Step 2: Convert to fraction form
    473,002.56/652,690.08 = 271,863.36/x
  3. Step 3: Cross multiply
    473,002.56x = 652,690.08 × 271,863.36
  4. Step 4: Simplify right side
    473,002.56x = 177,442,518,187.47
  5. Step 5: Solve for x
    x = 177,442,518,187.47/473,002.56
  6. Step 6: Final answer
    x = 375,140.71

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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.