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Finding the Fourth Proportional to 542,713.70, 814,109.42 and 143,350.49

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Solution

The fourth proportional to 542,713.70, 814,109.42 and 143,350.49 is: 215,036.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,713.70 : 814,109.42 = 143,350.49 : x
  2. Step 2: Convert to fraction form
    542,713.70/814,109.42 = 143,350.49/x
  3. Step 3: Cross multiply
    542,713.70x = 814,109.42 × 143,350.49
  4. Step 4: Simplify right side
    542,713.70x = 116,702,984,270.62
  5. Step 5: Solve for x
    x = 116,702,984,270.62/542,713.70
  6. Step 6: Final answer
    x = 215,036.00

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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.