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Finding the Fourth Proportional to 437,631.06, 656,184.12 and 200,676.90

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Solution

The fourth proportional to 437,631.06, 656,184.12 and 200,676.90 is: 300,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,631.06 : 656,184.12 = 200,676.90 : x
  2. Step 2: Convert to fraction form
    437,631.06/656,184.12 = 200,676.90/x
  3. Step 3: Cross multiply
    437,631.06x = 656,184.12 × 200,676.90
  4. Step 4: Simplify right side
    437,631.06x = 131,680,995,030.83
  5. Step 5: Solve for x
    x = 131,680,995,030.83/437,631.06
  6. Step 6: Final answer
    x = 300,894.99

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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.