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Finding the Fourth Proportional to 284,218.27, 392,220.83 and 156,893.56

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Solution

The fourth proportional to 284,218.27, 392,220.83 and 156,893.56 is: 216,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,218.27 : 392,220.83 = 156,893.56 : x
  2. Step 2: Convert to fraction form
    284,218.27/392,220.83 = 156,893.56/x
  3. Step 3: Cross multiply
    284,218.27x = 392,220.83 × 156,893.56
  4. Step 4: Simplify right side
    284,218.27x = 61,536,919,579.28
  5. Step 5: Solve for x
    x = 61,536,919,579.28/284,218.27
  6. Step 6: Final answer
    x = 216,512.90

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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.