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Finding the Fourth Proportional to 296,689.64, 444,866.78 and 116,830.76

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Solution

The fourth proportional to 296,689.64, 444,866.78 and 116,830.76 is: 175,180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,689.64 : 444,866.78 = 116,830.76 : x
  2. Step 2: Convert to fraction form
    296,689.64/444,866.78 = 116,830.76/x
  3. Step 3: Cross multiply
    296,689.64x = 444,866.78 × 116,830.76
  4. Step 4: Simplify right side
    296,689.64x = 51,974,122,073.90
  5. Step 5: Solve for x
    x = 51,974,122,073.90/296,689.64
  6. Step 6: Final answer
    x = 175,180.11

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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.