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Finding the Fourth Proportional to 403,105.30, 556,284.20 and 221,828.96

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Solution

The fourth proportional to 403,105.30, 556,284.20 and 221,828.96 is: 306,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,105.30 : 556,284.20 = 221,828.96 : x
  2. Step 2: Convert to fraction form
    403,105.30/556,284.20 = 221,828.96/x
  3. Step 3: Cross multiply
    403,105.30x = 556,284.20 × 221,828.96
  4. Step 4: Simplify right side
    403,105.30x = 123,399,945,832.00
  5. Step 5: Solve for x
    x = 123,399,945,832.00/403,105.30
  6. Step 6: Final answer
    x = 306,123.35

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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.