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Finding the Fourth Proportional to 257,947.80, 386,921.70 and 163,469.40

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Solution

The fourth proportional to 257,947.80, 386,921.70 and 163,469.40 is: 245,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,947.80 : 386,921.70 = 163,469.40 : x
  2. Step 2: Convert to fraction form
    257,947.80/386,921.70 = 163,469.40/x
  3. Step 3: Cross multiply
    257,947.80x = 386,921.70 × 163,469.40
  4. Step 4: Simplify right side
    257,947.80x = 63,249,858,145.98
  5. Step 5: Solve for x
    x = 63,249,858,145.98/257,947.80
  6. Step 6: Final answer
    x = 245,204.10

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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.