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Finding the Fourth Proportional to 823,496.24, 1,235,071.56 and 232,382

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Solution

The fourth proportional to 823,496.24, 1,235,071.56 and 232,382 is: 348,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,496.24 : 1,235,071.56 = 232,382 : x
  2. Step 2: Convert to fraction form
    823,496.24/1,235,071.56 = 232,382/x
  3. Step 3: Cross multiply
    823,496.24x = 1,235,071.56 × 232,382
  4. Step 4: Simplify right side
    823,496.24x = 287,008,399,255.92
  5. Step 5: Solve for x
    x = 287,008,399,255.92/823,496.24
  6. Step 6: Final answer
    x = 348,524.24

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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.