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Finding the Fourth Proportional to 483,502.86, 724,257.56 and 283,216.02

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Solution

The fourth proportional to 483,502.86, 724,257.56 and 283,216.02 is: 424,240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,502.86 : 724,257.56 = 283,216.02 : x
  2. Step 2: Convert to fraction form
    483,502.86/724,257.56 = 283,216.02/x
  3. Step 3: Cross multiply
    483,502.86x = 724,257.56 × 283,216.02
  4. Step 4: Simplify right side
    483,502.86x = 205,121,342,182.03
  5. Step 5: Solve for x
    x = 205,121,342,182.03/483,502.86
  6. Step 6: Final answer
    x = 424,240.18

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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.