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Finding the Fourth Proportional to 437,608.10, 656,412.15 and 288,049.70

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Solution

The fourth proportional to 437,608.10, 656,412.15 and 288,049.70 is: 432,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,608.10 : 656,412.15 = 288,049.70 : x
  2. Step 2: Convert to fraction form
    437,608.10/656,412.15 = 288,049.70/x
  3. Step 3: Cross multiply
    437,608.10x = 656,412.15 × 288,049.70
  4. Step 4: Simplify right side
    437,608.10x = 189,079,322,883.86
  5. Step 5: Solve for x
    x = 189,079,322,883.86/437,608.10
  6. Step 6: Final answer
    x = 432,074.55

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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.