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Finding the Fourth Proportional to 420,486.29, 580,254.84 and 229,499.68

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Solution

The fourth proportional to 420,486.29, 580,254.84 and 229,499.68 is: 316,700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,486.29 : 580,254.84 = 229,499.68 : x
  2. Step 2: Convert to fraction form
    420,486.29/580,254.84 = 229,499.68/x
  3. Step 3: Cross multiply
    420,486.29x = 580,254.84 × 229,499.68
  4. Step 4: Simplify right side
    420,486.29x = 133,168,299,735.79
  5. Step 5: Solve for x
    x = 133,168,299,735.79/420,486.29
  6. Step 6: Final answer
    x = 316,700.69

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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.