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Finding the Fourth Proportional to 601,470.67, 829,924.03 and 343,229.71

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Solution

The fourth proportional to 601,470.67, 829,924.03 and 343,229.71 is: 473,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,470.67 : 829,924.03 = 343,229.71 : x
  2. Step 2: Convert to fraction form
    601,470.67/829,924.03 = 343,229.71/x
  3. Step 3: Cross multiply
    601,470.67x = 829,924.03 × 343,229.71
  4. Step 4: Simplify right side
    601,470.67x = 284,854,584,138.93
  5. Step 5: Solve for x
    x = 284,854,584,138.93/601,470.67
  6. Step 6: Final answer
    x = 473,596.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.