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Finding the Fourth Proportional to 284,113.64, 392,158.78 and 167,934.74

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Solution

The fourth proportional to 284,113.64, 392,158.78 and 167,934.74 is: 231,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,113.64 : 392,158.78 = 167,934.74 : x
  2. Step 2: Convert to fraction form
    284,113.64/392,158.78 = 167,934.74/x
  3. Step 3: Cross multiply
    284,113.64x = 392,158.78 × 167,934.74
  4. Step 4: Simplify right side
    284,113.64x = 65,857,082,758.02
  5. Step 5: Solve for x
    x = 65,857,082,758.02/284,113.64
  6. Step 6: Final answer
    x = 231,798.38

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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.