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Finding the Fourth Proportional to 319,681.38, 441,159.38 and 176,440.40

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Solution

The fourth proportional to 319,681.38, 441,159.38 and 176,440.40 is: 243,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,681.38 : 441,159.38 = 176,440.40 : x
  2. Step 2: Convert to fraction form
    319,681.38/441,159.38 = 176,440.40/x
  3. Step 3: Cross multiply
    319,681.38x = 441,159.38 × 176,440.40
  4. Step 4: Simplify right side
    319,681.38x = 77,838,337,470.95
  5. Step 5: Solve for x
    x = 77,838,337,470.95/319,681.38
  6. Step 6: Final answer
    x = 243,487.24

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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.