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Finding the Fourth Proportional to 291,794.63, 437,730.23 and 114,278.57

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Solution

The fourth proportional to 291,794.63, 437,730.23 and 114,278.57 is: 171,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,794.63 : 437,730.23 = 114,278.57 : x
  2. Step 2: Convert to fraction form
    291,794.63/437,730.23 = 114,278.57/x
  3. Step 3: Cross multiply
    291,794.63x = 437,730.23 × 114,278.57
  4. Step 4: Simplify right side
    291,794.63x = 50,023,185,253.10
  5. Step 5: Solve for x
    x = 50,023,185,253.10/291,794.63
  6. Step 6: Final answer
    x = 171,432.85

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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.