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Finding the Fourth Proportional to 404,410, 558,085.80 and 225,562

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Solution

The fourth proportional to 404,410, 558,085.80 and 225,562 is: 311,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,410 : 558,085.80 = 225,562 : x
  2. Step 2: Convert to fraction form
    404,410/558,085.80 = 225,562/x
  3. Step 3: Cross multiply
    404,410x = 558,085.80 × 225,562
  4. Step 4: Simplify right side
    404,410x = 125,882,949,219.60
  5. Step 5: Solve for x
    x = 125,882,949,219.60/404,410
  6. Step 6: Final answer
    x = 311,275.56

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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.