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Finding the Fourth Proportional to 403,872.40, 557,341.32 and 222,584.50

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Solution

The fourth proportional to 403,872.40, 557,341.32 and 222,584.50 is: 307,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,872.40 : 557,341.32 = 222,584.50 : x
  2. Step 2: Convert to fraction form
    403,872.40/557,341.32 = 222,584.50/x
  3. Step 3: Cross multiply
    403,872.40x = 557,341.32 × 222,584.50
  4. Step 4: Simplify right side
    403,872.40x = 124,055,539,041.54
  5. Step 5: Solve for x
    x = 124,055,539,041.54/403,872.40
  6. Step 6: Final answer
    x = 307,165.18

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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.