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Finding the Fourth Proportional to 284,909.40, 427,364.10 and 160,234.20

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Solution

The fourth proportional to 284,909.40, 427,364.10 and 160,234.20 is: 240,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,909.40 : 427,364.10 = 160,234.20 : x
  2. Step 2: Convert to fraction form
    284,909.40/427,364.10 = 160,234.20/x
  3. Step 3: Cross multiply
    284,909.40x = 427,364.10 × 160,234.20
  4. Step 4: Simplify right side
    284,909.40x = 68,478,344,672.22
  5. Step 5: Solve for x
    x = 68,478,344,672.22/284,909.40
  6. Step 6: Final answer
    x = 240,351.30

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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.