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Finding the Fourth Proportional to 319,336.38, 440,678.07 and 176,109.66

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Solution

The fourth proportional to 319,336.38, 440,678.07 and 176,109.66 is: 243,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,336.38 : 440,678.07 = 176,109.66 : x
  2. Step 2: Convert to fraction form
    319,336.38/440,678.07 = 176,109.66/x
  3. Step 3: Cross multiply
    319,336.38x = 440,678.07 × 176,109.66
  4. Step 4: Simplify right side
    319,336.38x = 77,607,665,077.16
  5. Step 5: Solve for x
    x = 77,607,665,077.16/319,336.38
  6. Step 6: Final answer
    x = 243,027.95

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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.