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Finding the Fourth Proportional to 296,043.64, 444,182.22 and 129,715

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Solution

The fourth proportional to 296,043.64, 444,182.22 and 129,715 is: 194,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,043.64 : 444,182.22 = 129,715 : x
  2. Step 2: Convert to fraction form
    296,043.64/444,182.22 = 129,715/x
  3. Step 3: Cross multiply
    296,043.64x = 444,182.22 × 129,715
  4. Step 4: Simplify right side
    296,043.64x = 57,617,096,667.30
  5. Step 5: Solve for x
    x = 57,617,096,667.30/296,043.64
  6. Step 6: Final answer
    x = 194,623.66

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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.