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Finding the Fourth Proportional to 234,826.52, 349,415.17 and 234,039.20

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Solution

The fourth proportional to 234,826.52, 349,415.17 and 234,039.20 is: 348,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,826.52 : 349,415.17 = 234,039.20 : x
  2. Step 2: Convert to fraction form
    234,826.52/349,415.17 = 234,039.20/x
  3. Step 3: Cross multiply
    234,826.52x = 349,415.17 × 234,039.20
  4. Step 4: Simplify right side
    234,826.52x = 81,776,844,522.49
  5. Step 5: Solve for x
    x = 81,776,844,522.49/234,826.52
  6. Step 6: Final answer
    x = 348,243.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.