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Finding the Fourth Proportional to 284,624.83, 392,963.42 and 177,352.48

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Solution

The fourth proportional to 284,624.83, 392,963.42 and 177,352.48 is: 244,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,624.83 : 392,963.42 = 177,352.48 : x
  2. Step 2: Convert to fraction form
    284,624.83/392,963.42 = 177,352.48/x
  3. Step 3: Cross multiply
    284,624.83x = 392,963.42 × 177,352.48
  4. Step 4: Simplify right side
    284,624.83x = 69,693,037,086.28
  5. Step 5: Solve for x
    x = 69,693,037,086.28/284,624.83
  6. Step 6: Final answer
    x = 244,859.30

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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.