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Finding the Fourth Proportional to 319,711.86, 441,202.41 and 176,471.93

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Solution

The fourth proportional to 319,711.86, 441,202.41 and 176,471.93 is: 243,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,711.86 : 441,202.41 = 176,471.93 : x
  2. Step 2: Convert to fraction form
    319,711.86/441,202.41 = 176,471.93/x
  3. Step 3: Cross multiply
    319,711.86x = 441,202.41 × 176,471.93
  4. Step 4: Simplify right side
    319,711.86x = 77,859,841,916.36
  5. Step 5: Solve for x
    x = 77,859,841,916.36/319,711.86
  6. Step 6: Final answer
    x = 243,531.29

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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.