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Finding the Fourth Proportional to 473,129.78, 709,704.63 and 169,543.71

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Solution

The fourth proportional to 473,129.78, 709,704.63 and 169,543.71 is: 254,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,129.78 : 709,704.63 = 169,543.71 : x
  2. Step 2: Convert to fraction form
    473,129.78/709,704.63 = 169,543.71/x
  3. Step 3: Cross multiply
    473,129.78x = 709,704.63 × 169,543.71
  4. Step 4: Simplify right side
    473,129.78x = 120,325,955,974.38
  5. Step 5: Solve for x
    x = 120,325,955,974.38/473,129.78
  6. Step 6: Final answer
    x = 254,319.14

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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.