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Finding the Fourth Proportional to 589,252.97, 813,142.85 and 344,260.45

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Solution

The fourth proportional to 589,252.97, 813,142.85 and 344,260.45 is: 475,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,252.97 : 813,142.85 = 344,260.45 : x
  2. Step 2: Convert to fraction form
    589,252.97/813,142.85 = 344,260.45/x
  3. Step 3: Cross multiply
    589,252.97x = 813,142.85 × 344,260.45
  4. Step 4: Simplify right side
    589,252.97x = 279,932,919,701.12
  5. Step 5: Solve for x
    x = 279,932,919,701.12/589,252.97
  6. Step 6: Final answer
    x = 475,064.08

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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.