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Finding the Fourth Proportional to 265,264, 365,253.68 and 199,947.72

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Solution

The fourth proportional to 265,264, 365,253.68 and 199,947.72 is: 275,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,264 : 365,253.68 = 199,947.72 : x
  2. Step 2: Convert to fraction form
    265,264/365,253.68 = 199,947.72/x
  3. Step 3: Cross multiply
    265,264x = 365,253.68 × 199,947.72
  4. Step 4: Simplify right side
    265,264x = 73,031,638,211.47
  5. Step 5: Solve for x
    x = 73,031,638,211.47/265,264
  6. Step 6: Final answer
    x = 275,316.81

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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.