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Finding the Fourth Proportional to 652,900.92, 900,769.86 and 411,198.54

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Solution

The fourth proportional to 652,900.92, 900,769.86 and 411,198.54 is: 567,306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,900.92 : 900,769.86 = 411,198.54 : x
  2. Step 2: Convert to fraction form
    652,900.92/900,769.86 = 411,198.54/x
  3. Step 3: Cross multiply
    652,900.92x = 900,769.86 × 411,198.54
  4. Step 4: Simplify right side
    652,900.92x = 370,395,251,308.00
  5. Step 5: Solve for x
    x = 370,395,251,308.00/652,900.92
  6. Step 6: Final answer
    x = 567,306.98

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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.