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Finding the Fourth Proportional to 458,616.40, 686,542.20 and 403,320.40

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Solution

The fourth proportional to 458,616.40, 686,542.20 and 403,320.40 is: 603,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,616.40 : 686,542.20 = 403,320.40 : x
  2. Step 2: Convert to fraction form
    458,616.40/686,542.20 = 403,320.40/x
  3. Step 3: Cross multiply
    458,616.40x = 686,542.20 × 403,320.40
  4. Step 4: Simplify right side
    458,616.40x = 276,896,474,720.88
  5. Step 5: Solve for x
    x = 276,896,474,720.88/458,616.40
  6. Step 6: Final answer
    x = 603,764.88

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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.