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Finding the Fourth Proportional to 298,748.30, 412,253.43 and 177,898.46

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Solution

The fourth proportional to 298,748.30, 412,253.43 and 177,898.46 is: 245,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,748.30 : 412,253.43 = 177,898.46 : x
  2. Step 2: Convert to fraction form
    298,748.30/412,253.43 = 177,898.46/x
  3. Step 3: Cross multiply
    298,748.30x = 412,253.43 × 177,898.46
  4. Step 4: Simplify right side
    298,748.30x = 73,339,250,326.72
  5. Step 5: Solve for x
    x = 73,339,250,326.72/298,748.30
  6. Step 6: Final answer
    x = 245,488.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.