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Finding the Fourth Proportional to 409,191.62, 564,684.62 and 227,938.32

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Solution

The fourth proportional to 409,191.62, 564,684.62 and 227,938.32 is: 314,554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,191.62 : 564,684.62 = 227,938.32 : x
  2. Step 2: Convert to fraction form
    409,191.62/564,684.62 = 227,938.32/x
  3. Step 3: Cross multiply
    409,191.62x = 564,684.62 × 227,938.32
  4. Step 4: Simplify right side
    409,191.62x = 128,713,262,472.95
  5. Step 5: Solve for x
    x = 128,713,262,472.95/409,191.62
  6. Step 6: Final answer
    x = 314,554.99

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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.