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Finding the Fourth Proportional to 463,716.80, 695,805.60 and 183,243.20

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Solution

The fourth proportional to 463,716.80, 695,805.60 and 183,243.20 is: 274,955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,716.80 : 695,805.60 = 183,243.20 : x
  2. Step 2: Convert to fraction form
    463,716.80/695,805.60 = 183,243.20/x
  3. Step 3: Cross multiply
    463,716.80x = 695,805.60 × 183,243.20
  4. Step 4: Simplify right side
    463,716.80x = 127,501,644,721.92
  5. Step 5: Solve for x
    x = 127,501,644,721.92/463,716.80
  6. Step 6: Final answer
    x = 274,955.85

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Why These Related Problems?

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