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Finding the Fourth Proportional to 483,642.60, 724,589.10 and 413,658.60

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Solution

The fourth proportional to 483,642.60, 724,589.10 and 413,658.60 is: 619,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,642.60 : 724,589.10 = 413,658.60 : x
  2. Step 2: Convert to fraction form
    483,642.60/724,589.10 = 413,658.60/x
  3. Step 3: Cross multiply
    483,642.60x = 724,589.10 × 413,658.60
  4. Step 4: Simplify right side
    483,642.60x = 299,732,512,681.26
  5. Step 5: Solve for x
    x = 299,732,512,681.26/483,642.60
  6. Step 6: Final answer
    x = 619,739.69

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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.