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Finding the Fourth Proportional to 338,436.80, 467,010.24 and 202,443.20

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Solution

The fourth proportional to 338,436.80, 467,010.24 and 202,443.20 is: 279,352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,436.80 : 467,010.24 = 202,443.20 : x
  2. Step 2: Convert to fraction form
    338,436.80/467,010.24 = 202,443.20/x
  3. Step 3: Cross multiply
    338,436.80x = 467,010.24 × 202,443.20
  4. Step 4: Simplify right side
    338,436.80x = 94,543,047,418.37
  5. Step 5: Solve for x
    x = 94,543,047,418.37/338,436.80
  6. Step 6: Final answer
    x = 279,352.15

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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.