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Finding the Fourth Proportional to 420,347.84, 580,081.68 and 229,365.20

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Solution

The fourth proportional to 420,347.84, 580,081.68 and 229,365.20 is: 316,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,347.84 : 580,081.68 = 229,365.20 : x
  2. Step 2: Convert to fraction form
    420,347.84/580,081.68 = 229,365.20/x
  3. Step 3: Cross multiply
    420,347.84x = 580,081.68 × 229,365.20
  4. Step 4: Simplify right side
    420,347.84x = 133,050,550,549.54
  5. Step 5: Solve for x
    x = 133,050,550,549.54/420,347.84
  6. Step 6: Final answer
    x = 316,524.88

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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.