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Finding the Fourth Proportional to 284,249.27, 392,261.46 and 156,922.13

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Solution

The fourth proportional to 284,249.27, 392,261.46 and 156,922.13 is: 216,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,249.27 : 392,261.46 = 156,922.13 : x
  2. Step 2: Convert to fraction form
    284,249.27/392,261.46 = 156,922.13/x
  3. Step 3: Cross multiply
    284,249.27x = 392,261.46 × 156,922.13
  4. Step 4: Simplify right side
    284,249.27x = 61,554,503,820.11
  5. Step 5: Solve for x
    x = 61,554,503,820.11/284,249.27
  6. Step 6: Final answer
    x = 216,551.14

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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.