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Finding the Fourth Proportional to 278,722.81, 384,425.56 and 192,824.74

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Solution

The fourth proportional to 278,722.81, 384,425.56 and 192,824.74 is: 265,951.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,722.81 : 384,425.56 = 192,824.74 : x
  2. Step 2: Convert to fraction form
    278,722.81/384,425.56 = 192,824.74/x
  3. Step 3: Cross multiply
    278,722.81x = 384,425.56 × 192,824.74
  4. Step 4: Simplify right side
    278,722.81x = 74,126,758,656.35
  5. Step 5: Solve for x
    x = 74,126,758,656.35/278,722.81
  6. Step 6: Final answer
    x = 265,951.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.