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Finding the Fourth Proportional to 665,244.52, 998,497.65 and 411,758.24

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Solution

The fourth proportional to 665,244.52, 998,497.65 and 411,758.24 is: 618,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,244.52 : 998,497.65 = 411,758.24 : x
  2. Step 2: Convert to fraction form
    665,244.52/998,497.65 = 411,758.24/x
  3. Step 3: Cross multiply
    665,244.52x = 998,497.65 × 411,758.24
  4. Step 4: Simplify right side
    665,244.52x = 411,139,635,008.14
  5. Step 5: Solve for x
    x = 411,139,635,008.14/665,244.52
  6. Step 6: Final answer
    x = 618,027.84

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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.