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Finding the Fourth Proportional to 453,687.09, 680,385.51 and 150,024.84

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Solution

The fourth proportional to 453,687.09, 680,385.51 and 150,024.84 is: 224,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,687.09 : 680,385.51 = 150,024.84 : x
  2. Step 2: Convert to fraction form
    453,687.09/680,385.51 = 150,024.84/x
  3. Step 3: Cross multiply
    453,687.09x = 680,385.51 × 150,024.84
  4. Step 4: Simplify right side
    453,687.09x = 102,074,727,276.07
  5. Step 5: Solve for x
    x = 102,074,727,276.07/453,687.09
  6. Step 6: Final answer
    x = 224,989.27

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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.