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Finding the Fourth Proportional to 319,141.38, 478,724.22 and 119,440.74

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Solution

The fourth proportional to 319,141.38, 478,724.22 and 119,440.74 is: 179,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,141.38 : 478,724.22 = 119,440.74 : x
  2. Step 2: Convert to fraction form
    319,141.38/478,724.22 = 119,440.74/x
  3. Step 3: Cross multiply
    319,141.38x = 478,724.22 × 119,440.74
  4. Step 4: Simplify right side
    319,141.38x = 57,179,175,092.72
  5. Step 5: Solve for x
    x = 57,179,175,092.72/319,141.38
  6. Step 6: Final answer
    x = 179,165.66

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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.