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Finding the Fourth Proportional to 420,402.40, 580,156.92 and 229,420

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Solution

The fourth proportional to 420,402.40, 580,156.92 and 229,420 is: 316,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,402.40 : 580,156.92 = 229,420 : x
  2. Step 2: Convert to fraction form
    420,402.40/580,156.92 = 229,420/x
  3. Step 3: Cross multiply
    420,402.40x = 580,156.92 × 229,420
  4. Step 4: Simplify right side
    420,402.40x = 133,099,600,586.40
  5. Step 5: Solve for x
    x = 133,099,600,586.40/420,402.40
  6. Step 6: Final answer
    x = 316,600.48

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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.