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Finding the Fourth Proportional to 291,585.57, 437,415.19 and 114,069.52

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Solution

The fourth proportional to 291,585.57, 437,415.19 and 114,069.52 is: 171,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,585.57 : 437,415.19 = 114,069.52 : x
  2. Step 2: Convert to fraction form
    291,585.57/437,415.19 = 114,069.52/x
  3. Step 3: Cross multiply
    291,585.57x = 437,415.19 × 114,069.52
  4. Step 4: Simplify right side
    291,585.57x = 49,895,738,565.14
  5. Step 5: Solve for x
    x = 49,895,738,565.14/291,585.57
  6. Step 6: Final answer
    x = 171,118.68

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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.