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Finding the Fourth Proportional to 284,476.62, 392,589 and 163,617.76

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Solution

The fourth proportional to 284,476.62, 392,589 and 163,617.76 is: 225,798.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,476.62 : 392,589 = 163,617.76 : x
  2. Step 2: Convert to fraction form
    284,476.62/392,589 = 163,617.76/x
  3. Step 3: Cross multiply
    284,476.62x = 392,589 × 163,617.76
  4. Step 4: Simplify right side
    284,476.62x = 64,234,532,780.64
  5. Step 5: Solve for x
    x = 64,234,532,780.64/284,476.62
  6. Step 6: Final answer
    x = 225,798.99

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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.