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Finding the Fourth Proportional to 291,952.71, 402,895.05 and 171,069.93

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Solution

The fourth proportional to 291,952.71, 402,895.05 and 171,069.93 is: 236,076.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,952.71 : 402,895.05 = 171,069.93 : x
  2. Step 2: Convert to fraction form
    291,952.71/402,895.05 = 171,069.93/x
  3. Step 3: Cross multiply
    291,952.71x = 402,895.05 × 171,069.93
  4. Step 4: Simplify right side
    291,952.71x = 68,923,228,000.85
  5. Step 5: Solve for x
    x = 68,923,228,000.85/291,952.71
  6. Step 6: Final answer
    x = 236,076.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.