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Finding the Fourth Proportional to 820,908.10, 1,232,346.30 and 461,365.30

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Solution

The fourth proportional to 820,908.10, 1,232,346.30 and 461,365.30 is: 692,601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,908.10 : 1,232,346.30 = 461,365.30 : x
  2. Step 2: Convert to fraction form
    820,908.10/1,232,346.30 = 461,365.30/x
  3. Step 3: Cross multiply
    820,908.10x = 1,232,346.30 × 461,365.30
  4. Step 4: Simplify right side
    820,908.10x = 568,561,820,403.39
  5. Step 5: Solve for x
    x = 568,561,820,403.39/820,908.10
  6. Step 6: Final answer
    x = 692,601.06

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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.