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Finding the Fourth Proportional to 285,937.80, 428,760.24 and 151,074.27

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Solution

The fourth proportional to 285,937.80, 428,760.24 and 151,074.27 is: 226,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,937.80 : 428,760.24 = 151,074.27 : x
  2. Step 2: Convert to fraction form
    285,937.80/428,760.24 = 151,074.27/x
  3. Step 3: Cross multiply
    285,937.80x = 428,760.24 × 151,074.27
  4. Step 4: Simplify right side
    285,937.80x = 64,774,640,263.02
  5. Step 5: Solve for x
    x = 64,774,640,263.02/285,937.80
  6. Step 6: Final answer
    x = 226,534.02

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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.