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Finding the Fourth Proportional to 420,527.84, 580,330.80 and 229,537.04

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Solution

The fourth proportional to 420,527.84, 580,330.80 and 229,537.04 is: 316,762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,527.84 : 580,330.80 = 229,537.04 : x
  2. Step 2: Convert to fraction form
    420,527.84/580,330.80 = 229,537.04/x
  3. Step 3: Cross multiply
    420,527.84x = 580,330.80 × 229,537.04
  4. Step 4: Simplify right side
    420,527.84x = 133,207,414,052.83
  5. Step 5: Solve for x
    x = 133,207,414,052.83/420,527.84
  6. Step 6: Final answer
    x = 316,762.41

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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.