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Finding the Fourth Proportional to 382,074.12, 527,238.18 and 212,298.12

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Solution

The fourth proportional to 382,074.12, 527,238.18 and 212,298.12 is: 292,958.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,074.12 : 527,238.18 = 212,298.12 : x
  2. Step 2: Convert to fraction form
    382,074.12/527,238.18 = 212,298.12/x
  3. Step 3: Cross multiply
    382,074.12x = 527,238.18 × 212,298.12
  4. Step 4: Simplify right side
    382,074.12x = 111,931,674,406.22
  5. Step 5: Solve for x
    x = 111,931,674,406.22/382,074.12
  6. Step 6: Final answer
    x = 292,958.01

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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.