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Finding the Fourth Proportional to 491,470.85, 737,206.55 and 136,484.84

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Solution

The fourth proportional to 491,470.85, 737,206.55 and 136,484.84 is: 204,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,470.85 : 737,206.55 = 136,484.84 : x
  2. Step 2: Convert to fraction form
    491,470.85/737,206.55 = 136,484.84/x
  3. Step 3: Cross multiply
    491,470.85x = 737,206.55 × 136,484.84
  4. Step 4: Simplify right side
    491,470.85x = 100,617,518,023.70
  5. Step 5: Solve for x
    x = 100,617,518,023.70/491,470.85
  6. Step 6: Final answer
    x = 204,727.34

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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.