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Finding the Fourth Proportional to 319,805.46, 441,332.19 and 176,565.78

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Solution

The fourth proportional to 319,805.46, 441,332.19 and 176,565.78 is: 243,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,805.46 : 441,332.19 = 176,565.78 : x
  2. Step 2: Convert to fraction form
    319,805.46/441,332.19 = 176,565.78/x
  3. Step 3: Cross multiply
    319,805.46x = 441,332.19 × 176,565.78
  4. Step 4: Simplify right side
    319,805.46x = 77,924,162,366.46
  5. Step 5: Solve for x
    x = 77,924,162,366.46/319,805.46
  6. Step 6: Final answer
    x = 243,661.14

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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.