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Finding the Fourth Proportional to 535,545.56, 803,321.10 and 180,562.66

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Solution

The fourth proportional to 535,545.56, 803,321.10 and 180,562.66 is: 270,844.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,545.56 : 803,321.10 = 180,562.66 : x
  2. Step 2: Convert to fraction form
    535,545.56/803,321.10 = 180,562.66/x
  3. Step 3: Cross multiply
    535,545.56x = 803,321.10 × 180,562.66
  4. Step 4: Simplify right side
    535,545.56x = 145,049,790,633.52
  5. Step 5: Solve for x
    x = 145,049,790,633.52/535,545.56
  6. Step 6: Final answer
    x = 270,844.91

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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.