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Finding the Fourth Proportional to 377,691.42, 565,883.46 and 265,158.12

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Solution

The fourth proportional to 377,691.42, 565,883.46 and 265,158.12 is: 397,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,691.42 : 565,883.46 = 265,158.12 : x
  2. Step 2: Convert to fraction form
    377,691.42/565,883.46 = 265,158.12/x
  3. Step 3: Cross multiply
    377,691.42x = 565,883.46 × 265,158.12
  4. Step 4: Simplify right side
    377,691.42x = 150,048,594,392.70
  5. Step 5: Solve for x
    x = 150,048,594,392.70/377,691.42
  6. Step 6: Final answer
    x = 397,278.27

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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.