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Finding the Fourth Proportional to 298,315.90, 447,718.65 and 295,983.10

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Solution

The fourth proportional to 298,315.90, 447,718.65 and 295,983.10 is: 444,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,315.90 : 447,718.65 = 295,983.10 : x
  2. Step 2: Convert to fraction form
    298,315.90/447,718.65 = 295,983.10/x
  3. Step 3: Cross multiply
    298,315.90x = 447,718.65 × 295,983.10
  4. Step 4: Simplify right side
    298,315.90x = 132,517,153,954.82
  5. Step 5: Solve for x
    x = 132,517,153,954.82/298,315.90
  6. Step 6: Final answer
    x = 444,217.54

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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.