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Finding the Fourth Proportional to 345,174, 517,013.16 and 167,308.92

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Solution

The fourth proportional to 345,174, 517,013.16 and 167,308.92 is: 250,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,174 : 517,013.16 = 167,308.92 : x
  2. Step 2: Convert to fraction form
    345,174/517,013.16 = 167,308.92/x
  3. Step 3: Cross multiply
    345,174x = 517,013.16 × 167,308.92
  4. Step 4: Simplify right side
    345,174x = 86,500,913,425.39
  5. Step 5: Solve for x
    x = 86,500,913,425.39/345,174
  6. Step 6: Final answer
    x = 250,600.90

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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.