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Finding the Fourth Proportional to 397,407.60, 548,144.50 and 261,398.07

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Solution

The fourth proportional to 397,407.60, 548,144.50 and 261,398.07 is: 360,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,407.60 : 548,144.50 = 261,398.07 : x
  2. Step 2: Convert to fraction form
    397,407.60/548,144.50 = 261,398.07/x
  3. Step 3: Cross multiply
    397,407.60x = 548,144.50 × 261,398.07
  4. Step 4: Simplify right side
    397,407.60x = 143,283,914,381.12
  5. Step 5: Solve for x
    x = 143,283,914,381.12/397,407.60
  6. Step 6: Final answer
    x = 360,546.49

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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.