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Finding the Fourth Proportional to 382,041.12, 527,206.32 and 212,270.88

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Solution

The fourth proportional to 382,041.12, 527,206.32 and 212,270.88 is: 292,928.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,041.12 : 527,206.32 = 212,270.88 : x
  2. Step 2: Convert to fraction form
    382,041.12/527,206.32 = 212,270.88/x
  3. Step 3: Cross multiply
    382,041.12x = 527,206.32 × 212,270.88
  4. Step 4: Simplify right side
    382,041.12x = 111,910,549,487.96
  5. Step 5: Solve for x
    x = 111,910,549,487.96/382,041.12
  6. Step 6: Final answer
    x = 292,928.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.