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Finding the Fourth Proportional to 540,963.20, 811,521.60 and 166,947.20

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Solution

The fourth proportional to 540,963.20, 811,521.60 and 166,947.20 is: 250,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,963.20 : 811,521.60 = 166,947.20 : x
  2. Step 2: Convert to fraction form
    540,963.20/811,521.60 = 166,947.20/x
  3. Step 3: Cross multiply
    540,963.20x = 811,521.60 × 166,947.20
  4. Step 4: Simplify right side
    540,963.20x = 135,481,258,859.52
  5. Step 5: Solve for x
    x = 135,481,258,859.52/540,963.20
  6. Step 6: Final answer
    x = 250,444.50

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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.