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Finding the Fourth Proportional to 275,342.31, 413,013.49 and 97,856.33

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Solution

The fourth proportional to 275,342.31, 413,013.49 and 97,856.33 is: 146,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,342.31 : 413,013.49 = 97,856.33 : x
  2. Step 2: Convert to fraction form
    275,342.31/413,013.49 = 97,856.33/x
  3. Step 3: Cross multiply
    275,342.31x = 413,013.49 × 97,856.33
  4. Step 4: Simplify right side
    275,342.31x = 40,415,982,306.82
  5. Step 5: Solve for x
    x = 40,415,982,306.82/275,342.31
  6. Step 6: Final answer
    x = 146,784.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.