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Finding the Fourth Proportional to 474,306.92, 711,407.82 and 119,320.84

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Solution

The fourth proportional to 474,306.92, 711,407.82 and 119,320.84 is: 178,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,306.92 : 711,407.82 = 119,320.84 : x
  2. Step 2: Convert to fraction form
    474,306.92/711,407.82 = 119,320.84/x
  3. Step 3: Cross multiply
    474,306.92x = 711,407.82 × 119,320.84
  4. Step 4: Simplify right side
    474,306.92x = 84,885,778,664.97
  5. Step 5: Solve for x
    x = 84,885,778,664.97/474,306.92
  6. Step 6: Final answer
    x = 178,968.04

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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.