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Finding the Fourth Proportional to 298,714.70, 448,072.05 and 132,502.70

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Solution

The fourth proportional to 298,714.70, 448,072.05 and 132,502.70 is: 198,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,714.70 : 448,072.05 = 132,502.70 : x
  2. Step 2: Convert to fraction form
    298,714.70/448,072.05 = 132,502.70/x
  3. Step 3: Cross multiply
    298,714.70x = 448,072.05 × 132,502.70
  4. Step 4: Simplify right side
    298,714.70x = 59,370,756,419.54
  5. Step 5: Solve for x
    x = 59,370,756,419.54/298,714.70
  6. Step 6: Final answer
    x = 198,754.05

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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.