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Finding the Fourth Proportional to 260,343.38, 359,460.06 and 203,046.71

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Solution

The fourth proportional to 260,343.38, 359,460.06 and 203,046.71 is: 280,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,343.38 : 359,460.06 = 203,046.71 : x
  2. Step 2: Convert to fraction form
    260,343.38/359,460.06 = 203,046.71/x
  3. Step 3: Cross multiply
    260,343.38x = 359,460.06 × 203,046.71
  4. Step 4: Simplify right side
    260,343.38x = 72,987,182,559.40
  5. Step 5: Solve for x
    x = 72,987,182,559.40/260,343.38
  6. Step 6: Final answer
    x = 280,349.68

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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.