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Finding the Fourth Proportional to 409,074.62, 564,539.63 and 227,775.06

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Solution

The fourth proportional to 409,074.62, 564,539.63 and 227,775.06 is: 314,338.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,074.62 : 564,539.63 = 227,775.06 : x
  2. Step 2: Convert to fraction form
    409,074.62/564,539.63 = 227,775.06/x
  3. Step 3: Cross multiply
    409,074.62x = 564,539.63 × 227,775.06
  4. Step 4: Simplify right side
    409,074.62x = 128,588,046,956.75
  5. Step 5: Solve for x
    x = 128,588,046,956.75/409,074.62
  6. Step 6: Final answer
    x = 314,338.86

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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.