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Finding the Fourth Proportional to 457,449.59, 686,225.05 and 157,896.20

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Solution

The fourth proportional to 457,449.59, 686,225.05 and 157,896.20 is: 236,861.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,449.59 : 686,225.05 = 157,896.20 : x
  2. Step 2: Convert to fraction form
    457,449.59/686,225.05 = 157,896.20/x
  3. Step 3: Cross multiply
    457,449.59x = 686,225.05 × 157,896.20
  4. Step 4: Simplify right side
    457,449.59x = 108,352,329,060.63
  5. Step 5: Solve for x
    x = 108,352,329,060.63/457,449.59
  6. Step 6: Final answer
    x = 236,861.79

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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.