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Finding the Fourth Proportional to 403,133.33, 556,310.05 and 221,828.31

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Solution

The fourth proportional to 403,133.33, 556,310.05 and 221,828.31 is: 306,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,133.33 : 556,310.05 = 221,828.31 : x
  2. Step 2: Convert to fraction form
    403,133.33/556,310.05 = 221,828.31/x
  3. Step 3: Cross multiply
    403,133.33x = 556,310.05 × 221,828.31
  4. Step 4: Simplify right side
    403,133.33x = 123,405,318,227.52
  5. Step 5: Solve for x
    x = 123,405,318,227.52/403,133.33
  6. Step 6: Final answer
    x = 306,115.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.