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Finding the Fourth Proportional to 491,542.64, 737,494.16 and 207,304.72

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Solution

The fourth proportional to 491,542.64, 737,494.16 and 207,304.72 is: 311,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,542.64 : 737,494.16 = 207,304.72 : x
  2. Step 2: Convert to fraction form
    491,542.64/737,494.16 = 207,304.72/x
  3. Step 3: Cross multiply
    491,542.64x = 737,494.16 × 207,304.72
  4. Step 4: Simplify right side
    491,542.64x = 152,886,020,340.44
  5. Step 5: Solve for x
    x = 152,886,020,340.44/491,542.64
  6. Step 6: Final answer
    x = 311,033.08

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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.