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Finding the Fourth Proportional to 341,963.95, 471,967.65 and 231,532.50

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Solution

The fourth proportional to 341,963.95, 471,967.65 and 231,532.50 is: 319,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,963.95 : 471,967.65 = 231,532.50 : x
  2. Step 2: Convert to fraction form
    341,963.95/471,967.65 = 231,532.50/x
  3. Step 3: Cross multiply
    341,963.95x = 471,967.65 × 231,532.50
  4. Step 4: Simplify right side
    341,963.95x = 109,275,849,923.63
  5. Step 5: Solve for x
    x = 109,275,849,923.63/341,963.95
  6. Step 6: Final answer
    x = 319,553.71

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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.