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Finding the Fourth Proportional to 542,754.48, 749,047.08 and 301,114.76

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Solution

The fourth proportional to 542,754.48, 749,047.08 and 301,114.76 is: 415,563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,754.48 : 749,047.08 = 301,114.76 : x
  2. Step 2: Convert to fraction form
    542,754.48/749,047.08 = 301,114.76/x
  3. Step 3: Cross multiply
    542,754.48x = 749,047.08 × 301,114.76
  4. Step 4: Simplify right side
    542,754.48x = 225,549,131,722.90
  5. Step 5: Solve for x
    x = 225,549,131,722.90/542,754.48
  6. Step 6: Final answer
    x = 415,563.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.