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Finding the Fourth Proportional to 309,171.78, 426,657.06 and 175,035.78

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Solution

The fourth proportional to 309,171.78, 426,657.06 and 175,035.78 is: 241,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,171.78 : 426,657.06 = 175,035.78 : x
  2. Step 2: Convert to fraction form
    309,171.78/426,657.06 = 175,035.78/x
  3. Step 3: Cross multiply
    309,171.78x = 426,657.06 × 175,035.78
  4. Step 4: Simplify right side
    309,171.78x = 74,680,251,289.61
  5. Step 5: Solve for x
    x = 74,680,251,289.61/309,171.78
  6. Step 6: Final answer
    x = 241,549.38

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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.