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Finding the Fourth Proportional to 310,879.13, 429,013.20 and 176,743.13

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Solution

The fourth proportional to 310,879.13, 429,013.20 and 176,743.13 is: 243,905.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,879.13 : 429,013.20 = 176,743.13 : x
  2. Step 2: Convert to fraction form
    310,879.13/429,013.20 = 176,743.13/x
  3. Step 3: Cross multiply
    310,879.13x = 429,013.20 × 176,743.13
  4. Step 4: Simplify right side
    310,879.13x = 75,825,133,634.25
  5. Step 5: Solve for x
    x = 75,825,133,634.25/310,879.13
  6. Step 6: Final answer
    x = 243,905.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.