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Finding the Fourth Proportional to 297,712.47, 410,841 and 161,747.54

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Solution

The fourth proportional to 297,712.47, 410,841 and 161,747.54 is: 223,210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,712.47 : 410,841 = 161,747.54 : x
  2. Step 2: Convert to fraction form
    297,712.47/410,841 = 161,747.54/x
  3. Step 3: Cross multiply
    297,712.47x = 410,841 × 161,747.54
  4. Step 4: Simplify right side
    297,712.47x = 66,452,519,026.94
  5. Step 5: Solve for x
    x = 66,452,519,026.94/297,712.47
  6. Step 6: Final answer
    x = 223,210.40

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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.