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Finding the Fourth Proportional to 474,843.62, 712,262.70 and 119,856.16

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Solution

The fourth proportional to 474,843.62, 712,262.70 and 119,856.16 is: 179,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,843.62 : 712,262.70 = 119,856.16 : x
  2. Step 2: Convert to fraction form
    474,843.62/712,262.70 = 119,856.16/x
  3. Step 3: Cross multiply
    474,843.62x = 712,262.70 × 119,856.16
  4. Step 4: Simplify right side
    474,843.62x = 85,369,072,133.23
  5. Step 5: Solve for x
    x = 85,369,072,133.23/474,843.62
  6. Step 6: Final answer
    x = 179,783.55

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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.