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Finding the Fourth Proportional to 253,694.40, 380,559.84 and 87,480

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Solution

The fourth proportional to 253,694.40, 380,559.84 and 87,480 is: 131,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,694.40 : 380,559.84 = 87,480 : x
  2. Step 2: Convert to fraction form
    253,694.40/380,559.84 = 87,480/x
  3. Step 3: Cross multiply
    253,694.40x = 380,559.84 × 87,480
  4. Step 4: Simplify right side
    253,694.40x = 33,291,374,803.20
  5. Step 5: Solve for x
    x = 33,291,374,803.20/253,694.40
  6. Step 6: Final answer
    x = 131,226.29

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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.