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Finding the Fourth Proportional to 292,338.24, 438,497.84 and 123,813.60

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Solution

The fourth proportional to 292,338.24, 438,497.84 and 123,813.60 is: 185,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,338.24 : 438,497.84 = 123,813.60 : x
  2. Step 2: Convert to fraction form
    292,338.24/438,497.84 = 123,813.60/x
  3. Step 3: Cross multiply
    292,338.24x = 438,497.84 × 123,813.60
  4. Step 4: Simplify right side
    292,338.24x = 54,291,996,162.62
  5. Step 5: Solve for x
    x = 54,291,996,162.62/292,338.24
  6. Step 6: Final answer
    x = 185,716.37

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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.