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Finding the Fourth Proportional to 296,969.28, 445,453.95 and 86,607.24

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Solution

The fourth proportional to 296,969.28, 445,453.95 and 86,607.24 is: 129,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,969.28 : 445,453.95 = 86,607.24 : x
  2. Step 2: Convert to fraction form
    296,969.28/445,453.95 = 86,607.24/x
  3. Step 3: Cross multiply
    296,969.28x = 445,453.95 × 86,607.24
  4. Step 4: Simplify right side
    296,969.28x = 38,579,537,156.60
  5. Step 5: Solve for x
    x = 38,579,537,156.60/296,969.28
  6. Step 6: Final answer
    x = 129,910.87

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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.