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Finding the Fourth Proportional to 542,679.68, 814,507.41 and 290,176.01

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Solution

The fourth proportional to 542,679.68, 814,507.41 and 290,176.01 is: 435,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,679.68 : 814,507.41 = 290,176.01 : x
  2. Step 2: Convert to fraction form
    542,679.68/814,507.41 = 290,176.01/x
  3. Step 3: Cross multiply
    542,679.68x = 814,507.41 × 290,176.01
  4. Step 4: Simplify right side
    542,679.68x = 236,350,506,276.70
  5. Step 5: Solve for x
    x = 236,350,506,276.70/542,679.68
  6. Step 6: Final answer
    x = 435,524.89

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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.