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Finding the Fourth Proportional to 288,722.56, 433,108 and 75,490.06

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Solution

The fourth proportional to 288,722.56, 433,108 and 75,490.06 is: 113,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,722.56 : 433,108 = 75,490.06 : x
  2. Step 2: Convert to fraction form
    288,722.56/433,108 = 75,490.06/x
  3. Step 3: Cross multiply
    288,722.56x = 433,108 × 75,490.06
  4. Step 4: Simplify right side
    288,722.56x = 32,695,348,906.48
  5. Step 5: Solve for x
    x = 32,695,348,906.48/288,722.56
  6. Step 6: Final answer
    x = 113,241.41

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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.