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Finding the Fourth Proportional to 403,644, 557,046 and 224,796

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Solution

The fourth proportional to 403,644, 557,046 and 224,796 is: 310,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,644 : 557,046 = 224,796 : x
  2. Step 2: Convert to fraction form
    403,644/557,046 = 224,796/x
  3. Step 3: Cross multiply
    403,644x = 557,046 × 224,796
  4. Step 4: Simplify right side
    403,644x = 125,221,712,616
  5. Step 5: Solve for x
    x = 125,221,712,616/403,644
  6. Step 6: Final answer
    x = 310,228.10

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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.