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Finding the Fourth Proportional to 291,711.83, 437,392.71 and 114,007.14

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Solution

The fourth proportional to 291,711.83, 437,392.71 and 114,007.14 is: 170,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,711.83 : 437,392.71 = 114,007.14 : x
  2. Step 2: Convert to fraction form
    291,711.83/437,392.71 = 114,007.14/x
  3. Step 3: Cross multiply
    291,711.83x = 437,392.71 × 114,007.14
  4. Step 4: Simplify right side
    291,711.83x = 49,865,891,923.95
  5. Step 5: Solve for x
    x = 49,865,891,923.95/291,711.83
  6. Step 6: Final answer
    x = 170,942.31

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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.