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Finding the Fourth Proportional to 296,267.97, 444,401.24 and 99,275.97

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Solution

The fourth proportional to 296,267.97, 444,401.24 and 99,275.97 is: 148,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,267.97 : 444,401.24 = 99,275.97 : x
  2. Step 2: Convert to fraction form
    296,267.97/444,401.24 = 99,275.97/x
  3. Step 3: Cross multiply
    296,267.97x = 444,401.24 × 99,275.97
  4. Step 4: Simplify right side
    296,267.97x = 44,118,363,673.82
  5. Step 5: Solve for x
    x = 44,118,363,673.82/296,267.97
  6. Step 6: Final answer
    x = 148,913.71

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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.