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Finding the Fourth Proportional to 388,910.80, 583,232.55 and 189,102.43

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Solution

The fourth proportional to 388,910.80, 583,232.55 and 189,102.43 is: 283,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,910.80 : 583,232.55 = 189,102.43 : x
  2. Step 2: Convert to fraction form
    388,910.80/583,232.55 = 189,102.43/x
  3. Step 3: Cross multiply
    388,910.80x = 583,232.55 × 189,102.43
  4. Step 4: Simplify right side
    388,910.80x = 110,290,692,460.10
  5. Step 5: Solve for x
    x = 110,290,692,460.10/388,910.80
  6. Step 6: Final answer
    x = 283,588.66

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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.