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Finding the Fourth Proportional to 646,407.23, 969,608.19 and 197,126.78

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Solution

The fourth proportional to 646,407.23, 969,608.19 and 197,126.78 is: 295,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,407.23 : 969,608.19 = 197,126.78 : x
  2. Step 2: Convert to fraction form
    646,407.23/969,608.19 = 197,126.78/x
  3. Step 3: Cross multiply
    646,407.23x = 969,608.19 × 197,126.78
  4. Step 4: Simplify right side
    646,407.23x = 191,135,735,508.29
  5. Step 5: Solve for x
    x = 191,135,735,508.29/646,407.23
  6. Step 6: Final answer
    x = 295,689.36

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1.5x scale

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.