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Finding the Fourth Proportional to 293,018.64, 404,229.12 and 189,686.24

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Solution

The fourth proportional to 293,018.64, 404,229.12 and 189,686.24 is: 261,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,018.64 : 404,229.12 = 189,686.24 : x
  2. Step 2: Convert to fraction form
    293,018.64/404,229.12 = 189,686.24/x
  3. Step 3: Cross multiply
    293,018.64x = 404,229.12 × 189,686.24
  4. Step 4: Simplify right side
    293,018.64x = 76,676,701,871.31
  5. Step 5: Solve for x
    x = 76,676,701,871.31/293,018.64
  6. Step 6: Final answer
    x = 261,678.58

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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.