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Finding the Fourth Proportional to 315,697.69, 473,531.14 and 116,002.72

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Solution

The fourth proportional to 315,697.69, 473,531.14 and 116,002.72 is: 173,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,697.69 : 473,531.14 = 116,002.72 : x
  2. Step 2: Convert to fraction form
    315,697.69/473,531.14 = 116,002.72/x
  3. Step 3: Cross multiply
    315,697.69x = 473,531.14 × 116,002.72
  4. Step 4: Simplify right side
    315,697.69x = 54,930,900,244.70
  5. Step 5: Solve for x
    x = 54,930,900,244.70/315,697.69
  6. Step 6: Final answer
    x = 173,998.42

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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.