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Finding the Fourth Proportional to 542,842.25, 813,433.00 and 290,158.69

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Solution

The fourth proportional to 542,842.25, 813,433.00 and 290,158.69 is: 434,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,842.25 : 813,433.00 = 290,158.69 : x
  2. Step 2: Convert to fraction form
    542,842.25/813,433.00 = 290,158.69/x
  3. Step 3: Cross multiply
    542,842.25x = 813,433.00 × 290,158.69
  4. Step 4: Simplify right side
    542,842.25x = 236,024,652,231.98
  5. Step 5: Solve for x
    x = 236,024,652,231.98/542,842.25
  6. Step 6: Final answer
    x = 434,794.18

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Why These Related Problems?

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