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Finding the Fourth Proportional to 285,507.88, 428,264.84 and 116,984.92

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Solution

The fourth proportional to 285,507.88, 428,264.84 and 116,984.92 is: 175,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,507.88 : 428,264.84 = 116,984.92 : x
  2. Step 2: Convert to fraction form
    285,507.88/428,264.84 = 116,984.92/x
  3. Step 3: Cross multiply
    285,507.88x = 428,264.84 × 116,984.92
  4. Step 4: Simplify right side
    285,507.88x = 50,100,528,046.21
  5. Step 5: Solve for x
    x = 50,100,528,046.21/285,507.88
  6. Step 6: Final answer
    x = 175,478.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.