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Finding the Fourth Proportional to 330,142.20, 493,901.10 and 286,256.40

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Solution

The fourth proportional to 330,142.20, 493,901.10 and 286,256.40 is: 428,246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,142.20 : 493,901.10 = 286,256.40 : x
  2. Step 2: Convert to fraction form
    330,142.20/493,901.10 = 286,256.40/x
  3. Step 3: Cross multiply
    330,142.20x = 493,901.10 × 286,256.40
  4. Step 4: Simplify right side
    330,142.20x = 141,382,350,842.04
  5. Step 5: Solve for x
    x = 141,382,350,842.04/330,142.20
  6. Step 6: Final answer
    x = 428,246.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.