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Finding the Fourth Proportional to 420,313.68, 580,034.76 and 229,331.08

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Solution

The fourth proportional to 420,313.68, 580,034.76 and 229,331.08 is: 316,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,313.68 : 580,034.76 = 229,331.08 : x
  2. Step 2: Convert to fraction form
    420,313.68/580,034.76 = 229,331.08/x
  3. Step 3: Cross multiply
    420,313.68x = 580,034.76 × 229,331.08
  4. Step 4: Simplify right side
    420,313.68x = 133,019,997,948.34
  5. Step 5: Solve for x
    x = 133,019,997,948.34/420,313.68
  6. Step 6: Final answer
    x = 316,477.92

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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.