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Finding the Fourth Proportional to 319,687.47, 441,166.56 and 176,447.47

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Solution

The fourth proportional to 319,687.47, 441,166.56 and 176,447.47 is: 243,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,687.47 : 441,166.56 = 176,447.47 : x
  2. Step 2: Convert to fraction form
    319,687.47/441,166.56 = 176,447.47/x
  3. Step 3: Cross multiply
    319,687.47x = 441,166.56 × 176,447.47
  4. Step 4: Simplify right side
    319,687.47x = 77,842,723,360.60
  5. Step 5: Solve for x
    x = 77,842,723,360.60/319,687.47
  6. Step 6: Final answer
    x = 243,496.32

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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.