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Finding the Fourth Proportional to 297,974.49, 447,023.31 and 98,307.06

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Solution

The fourth proportional to 297,974.49, 447,023.31 and 98,307.06 is: 147,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,974.49 : 447,023.31 = 98,307.06 : x
  2. Step 2: Convert to fraction form
    297,974.49/447,023.31 = 98,307.06/x
  3. Step 3: Cross multiply
    297,974.49x = 447,023.31 × 98,307.06
  4. Step 4: Simplify right side
    297,974.49x = 43,945,547,357.57
  5. Step 5: Solve for x
    x = 43,945,547,357.57/297,974.49
  6. Step 6: Final answer
    x = 147,480.90

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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.