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Finding the Fourth Proportional to 820,467.80, 1,132,243.14 and 457,887.80

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Solution

The fourth proportional to 820,467.80, 1,132,243.14 and 457,887.80 is: 631,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,467.80 : 1,132,243.14 = 457,887.80 : x
  2. Step 2: Convert to fraction form
    820,467.80/1,132,243.14 = 457,887.80/x
  3. Step 3: Cross multiply
    820,467.80x = 1,132,243.14 × 457,887.80
  4. Step 4: Simplify right side
    820,467.80x = 518,440,320,439.69
  5. Step 5: Solve for x
    x = 518,440,320,439.69/820,467.80
  6. Step 6: Final answer
    x = 631,883.81

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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.