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Finding the Fourth Proportional to 472,227.61, 708,132.43 and 135,191.47

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Solution

The fourth proportional to 472,227.61, 708,132.43 and 135,191.47 is: 202,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,227.61 : 708,132.43 = 135,191.47 : x
  2. Step 2: Convert to fraction form
    472,227.61/708,132.43 = 135,191.47/x
  3. Step 3: Cross multiply
    472,227.61x = 708,132.43 × 135,191.47
  4. Step 4: Simplify right side
    472,227.61x = 95,733,464,166.37
  5. Step 5: Solve for x
    x = 95,733,464,166.37/472,227.61
  6. Step 6: Final answer
    x = 202,727.38

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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.