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Finding the Fourth Proportional to 343,519.38, 474,061.41 and 257,325.66

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Solution

The fourth proportional to 343,519.38, 474,061.41 and 257,325.66 is: 355,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,519.38 : 474,061.41 = 257,325.66 : x
  2. Step 2: Convert to fraction form
    343,519.38/474,061.41 = 257,325.66/x
  3. Step 3: Cross multiply
    343,519.38x = 474,061.41 × 257,325.66
  4. Step 4: Simplify right side
    343,519.38x = 121,988,165,208.78
  5. Step 5: Solve for x
    x = 121,988,165,208.78/343,519.38
  6. Step 6: Final answer
    x = 355,112.91

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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.