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Finding the Fourth Proportional to 234,826.26, 349,414.80 and 234,038.94

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Solution

The fourth proportional to 234,826.26, 349,414.80 and 234,038.94 is: 348,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,826.26 : 349,414.80 = 234,038.94 : x
  2. Step 2: Convert to fraction form
    234,826.26/349,414.80 = 234,038.94/x
  3. Step 3: Cross multiply
    234,826.26x = 349,414.80 × 234,038.94
  4. Step 4: Simplify right side
    234,826.26x = 81,776,669,412.31
  5. Step 5: Solve for x
    x = 81,776,669,412.31/234,826.26
  6. Step 6: Final answer
    x = 348,243.29

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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.