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Finding the Fourth Proportional to 298,966.90, 448,529.55 and 130,414.90

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Solution

The fourth proportional to 298,966.90, 448,529.55 and 130,414.90 is: 195,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,966.90 : 448,529.55 = 130,414.90 : x
  2. Step 2: Convert to fraction form
    298,966.90/448,529.55 = 130,414.90/x
  3. Step 3: Cross multiply
    298,966.90x = 448,529.55 × 130,414.90
  4. Step 4: Simplify right side
    298,966.90x = 58,494,936,410.30
  5. Step 5: Solve for x
    x = 58,494,936,410.30/298,966.90
  6. Step 6: Final answer
    x = 195,656.90

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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.