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Finding the Fourth Proportional to 535,901.82, 803,379.36 and 410,103.72

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Solution

The fourth proportional to 535,901.82, 803,379.36 and 410,103.72 is: 614,793.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,901.82 : 803,379.36 = 410,103.72 : x
  2. Step 2: Convert to fraction form
    535,901.82/803,379.36 = 410,103.72/x
  3. Step 3: Cross multiply
    535,901.82x = 803,379.36 × 410,103.72
  4. Step 4: Simplify right side
    535,901.82x = 329,468,864,107.22
  5. Step 5: Solve for x
    x = 329,468,864,107.22/535,901.82
  6. Step 6: Final answer
    x = 614,793.33

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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.