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Finding the Fourth Proportional to 376,046.40, 564,570.16 and 218,388

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Solution

The fourth proportional to 376,046.40, 564,570.16 and 218,388 is: 327,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,046.40 : 564,570.16 = 218,388 : x
  2. Step 2: Convert to fraction form
    376,046.40/564,570.16 = 218,388/x
  3. Step 3: Cross multiply
    376,046.40x = 564,570.16 × 218,388
  4. Step 4: Simplify right side
    376,046.40x = 123,295,348,102.08
  5. Step 5: Solve for x
    x = 123,295,348,102.08/376,046.40
  6. Step 6: Final answer
    x = 327,872.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.