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Finding the Fourth Proportional to 474,746.92, 712,182.92 and 154,786.43

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Solution

The fourth proportional to 474,746.92, 712,182.92 and 154,786.43 is: 232,200.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,746.92 : 712,182.92 = 154,786.43 : x
  2. Step 2: Convert to fraction form
    474,746.92/712,182.92 = 154,786.43/x
  3. Step 3: Cross multiply
    474,746.92x = 712,182.92 × 154,786.43
  4. Step 4: Simplify right side
    474,746.92x = 110,236,251,693.78
  5. Step 5: Solve for x
    x = 110,236,251,693.78/474,746.92
  6. Step 6: Final answer
    x = 232,200.04

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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.