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Finding the Fourth Proportional to 319,906.89, 441,470.00 and 176,666.29

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Solution

The fourth proportional to 319,906.89, 441,470.00 and 176,666.29 is: 243,798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,906.89 : 441,470.00 = 176,666.29 : x
  2. Step 2: Convert to fraction form
    319,906.89/441,470.00 = 176,666.29/x
  3. Step 3: Cross multiply
    319,906.89x = 441,470.00 × 176,666.29
  4. Step 4: Simplify right side
    319,906.89x = 77,992,866,384.29
  5. Step 5: Solve for x
    x = 77,992,866,384.29/319,906.89
  6. Step 6: Final answer
    x = 243,798.65

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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.