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Finding the Fourth Proportional to 284,882.68, 393,259.15 and 177,505.76

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Solution

The fourth proportional to 284,882.68, 393,259.15 and 177,505.76 is: 245,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,882.68 : 393,259.15 = 177,505.76 : x
  2. Step 2: Convert to fraction form
    284,882.68/393,259.15 = 177,505.76/x
  3. Step 3: Cross multiply
    284,882.68x = 393,259.15 × 177,505.76
  4. Step 4: Simplify right side
    284,882.68x = 69,805,764,504.26
  5. Step 5: Solve for x
    x = 69,805,764,504.26/284,882.68
  6. Step 6: Final answer
    x = 245,033.38

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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.