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Finding the Fourth Proportional to 298,004.33, 447,006.46 and 87,642.26

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Solution

The fourth proportional to 298,004.33, 447,006.46 and 87,642.26 is: 131,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,004.33 : 447,006.46 = 87,642.26 : x
  2. Step 2: Convert to fraction form
    298,004.33/447,006.46 = 87,642.26/x
  3. Step 3: Cross multiply
    298,004.33x = 447,006.46 × 87,642.26
  4. Step 4: Simplify right side
    298,004.33x = 39,176,656,389.00
  5. Step 5: Solve for x
    x = 39,176,656,389.00/298,004.33
  6. Step 6: Final answer
    x = 131,463.38

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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.