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Finding the Fourth Proportional to 242,604.57, 362,200.95 and 185,378.97

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Solution

The fourth proportional to 242,604.57, 362,200.95 and 185,378.97 is: 276,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,604.57 : 362,200.95 = 185,378.97 : x
  2. Step 2: Convert to fraction form
    242,604.57/362,200.95 = 185,378.97/x
  3. Step 3: Cross multiply
    242,604.57x = 362,200.95 × 185,378.97
  4. Step 4: Simplify right side
    242,604.57x = 67,144,439,044.02
  5. Step 5: Solve for x
    x = 67,144,439,044.02/242,604.57
  6. Step 6: Final answer
    x = 276,764.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.