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Finding the Fourth Proportional to 820,553.82, 1,132,349.40 and 457,971.12

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Solution

The fourth proportional to 820,553.82, 1,132,349.40 and 457,971.12 is: 631,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,553.82 : 1,132,349.40 = 457,971.12 : x
  2. Step 2: Convert to fraction form
    820,553.82/1,132,349.40 = 457,971.12/x
  3. Step 3: Cross multiply
    820,553.82x = 1,132,349.40 × 457,971.12
  4. Step 4: Simplify right side
    820,553.82x = 518,583,322,949.33
  5. Step 5: Solve for x
    x = 518,583,322,949.33/820,553.82
  6. Step 6: Final answer
    x = 631,991.85

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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.