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Finding the Fourth Proportional to 397,476.92, 596,233.85 and 127,616.07

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Solution

The fourth proportional to 397,476.92, 596,233.85 and 127,616.07 is: 191,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,476.92 : 596,233.85 = 127,616.07 : x
  2. Step 2: Convert to fraction form
    397,476.92/596,233.85 = 127,616.07/x
  3. Step 3: Cross multiply
    397,476.92x = 596,233.85 × 127,616.07
  4. Step 4: Simplify right side
    397,476.92x = 76,089,022,335.77
  5. Step 5: Solve for x
    x = 76,089,022,335.77/397,476.92
  6. Step 6: Final answer
    x = 191,430.04

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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.