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Finding the Fourth Proportional to 378,111.68, 567,291.36 and 322,372.16

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Solution

The fourth proportional to 378,111.68, 567,291.36 and 322,372.16 is: 483,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,111.68 : 567,291.36 = 322,372.16 : x
  2. Step 2: Convert to fraction form
    378,111.68/567,291.36 = 322,372.16/x
  3. Step 3: Cross multiply
    378,111.68x = 567,291.36 × 322,372.16
  4. Step 4: Simplify right side
    378,111.68x = 182,878,941,072.54
  5. Step 5: Solve for x
    x = 182,878,941,072.54/378,111.68
  6. Step 6: Final answer
    x = 483,663.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.