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Finding the Fourth Proportional to 403,705.36, 557,138.28 and 224,857.36

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Solution

The fourth proportional to 403,705.36, 557,138.28 and 224,857.36 is: 310,317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,705.36 : 557,138.28 = 224,857.36 : x
  2. Step 2: Convert to fraction form
    403,705.36/557,138.28 = 224,857.36/x
  3. Step 3: Cross multiply
    403,705.36x = 557,138.28 × 224,857.36
  4. Step 4: Simplify right side
    403,705.36x = 125,276,642,795.74
  5. Step 5: Solve for x
    x = 125,276,642,795.74/403,705.36
  6. Step 6: Final answer
    x = 310,317.02

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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.