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Finding the Fourth Proportional to 382,038.12, 527,202.18 and 212,267.88

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Solution

The fourth proportional to 382,038.12, 527,202.18 and 212,267.88 is: 292,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,038.12 : 527,202.18 = 212,267.88 : x
  2. Step 2: Convert to fraction form
    382,038.12/527,202.18 = 212,267.88/x
  3. Step 3: Cross multiply
    382,038.12x = 527,202.18 × 212,267.88
  4. Step 4: Simplify right side
    382,038.12x = 111,908,089,079.98
  5. Step 5: Solve for x
    x = 111,908,089,079.98/382,038.12
  6. Step 6: Final answer
    x = 292,923.88

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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.