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Finding the Fourth Proportional to 274,444.64, 411,472.56 and 105,822.08

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Solution

The fourth proportional to 274,444.64, 411,472.56 and 105,822.08 is: 158,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,444.64 : 411,472.56 = 105,822.08 : x
  2. Step 2: Convert to fraction form
    274,444.64/411,472.56 = 105,822.08/x
  3. Step 3: Cross multiply
    274,444.64x = 411,472.56 × 105,822.08
  4. Step 4: Simplify right side
    274,444.64x = 43,542,882,162.12
  5. Step 5: Solve for x
    x = 43,542,882,162.12/274,444.64
  6. Step 6: Final answer
    x = 158,658.16

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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.