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Finding the Fourth Proportional to 298,475.84, 447,606.24 and 98,759.36

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Solution

The fourth proportional to 298,475.84, 447,606.24 and 98,759.36 is: 148,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,475.84 : 447,606.24 = 98,759.36 : x
  2. Step 2: Convert to fraction form
    298,475.84/447,606.24 = 98,759.36/x
  3. Step 3: Cross multiply
    298,475.84x = 447,606.24 × 98,759.36
  4. Step 4: Simplify right side
    298,475.84x = 44,205,305,794.41
  5. Step 5: Solve for x
    x = 44,205,305,794.41/298,475.84
  6. Step 6: Final answer
    x = 148,103.46

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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.