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Finding the Fourth Proportional to 492,341.78, 738,512.10 and 176,799.02

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Solution

The fourth proportional to 492,341.78, 738,512.10 and 176,799.02 is: 265,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,341.78 : 738,512.10 = 176,799.02 : x
  2. Step 2: Convert to fraction form
    492,341.78/738,512.10 = 176,799.02/x
  3. Step 3: Cross multiply
    492,341.78x = 738,512.10 × 176,799.02
  4. Step 4: Simplify right side
    492,341.78x = 130,568,215,538.14
  5. Step 5: Solve for x
    x = 130,568,215,538.14/492,341.78
  6. Step 6: Final answer
    x = 265,198.33

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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.