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Finding the Fourth Proportional to 420,356.67, 580,087.38 and 229,373.25

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Solution

The fourth proportional to 420,356.67, 580,087.38 and 229,373.25 is: 316,532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,356.67 : 580,087.38 = 229,373.25 : x
  2. Step 2: Convert to fraction form
    420,356.67/580,087.38 = 229,373.25/x
  3. Step 3: Cross multiply
    420,356.67x = 580,087.38 × 229,373.25
  4. Step 4: Simplify right side
    420,356.67x = 133,056,527,634.59
  5. Step 5: Solve for x
    x = 133,056,527,634.59/420,356.67
  6. Step 6: Final answer
    x = 316,532.45

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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.