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Finding the Fourth Proportional to 420,366.27, 580,119.45 and 229,390.14

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Solution

The fourth proportional to 420,366.27, 580,119.45 and 229,390.14 is: 316,566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,366.27 : 580,119.45 = 229,390.14 : x
  2. Step 2: Convert to fraction form
    420,366.27/580,119.45 = 229,390.14/x
  3. Step 3: Cross multiply
    420,366.27x = 580,119.45 × 229,390.14
  4. Step 4: Simplify right side
    420,366.27x = 133,073,681,852.22
  5. Step 5: Solve for x
    x = 133,073,681,852.22/420,366.27
  6. Step 6: Final answer
    x = 316,566.03

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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.