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Finding the Fourth Proportional to 542,806.56, 749,085.04 and 301,081.24

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Solution

The fourth proportional to 542,806.56, 749,085.04 and 301,081.24 is: 415,498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,806.56 : 749,085.04 = 301,081.24 : x
  2. Step 2: Convert to fraction form
    542,806.56/749,085.04 = 301,081.24/x
  3. Step 3: Cross multiply
    542,806.56x = 749,085.04 × 301,081.24
  4. Step 4: Simplify right side
    542,806.56x = 225,535,452,708.65
  5. Step 5: Solve for x
    x = 225,535,452,708.65/542,806.56
  6. Step 6: Final answer
    x = 415,498.76

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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.