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Finding the Fourth Proportional to 410,124.13, 566,022.42 and 238,005.14

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Solution

The fourth proportional to 410,124.13, 566,022.42 and 238,005.14 is: 328,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,124.13 : 566,022.42 = 238,005.14 : x
  2. Step 2: Convert to fraction form
    410,124.13/566,022.42 = 238,005.14/x
  3. Step 3: Cross multiply
    410,124.13x = 566,022.42 × 238,005.14
  4. Step 4: Simplify right side
    410,124.13x = 134,716,245,315.24
  5. Step 5: Solve for x
    x = 134,716,245,315.24/410,124.13
  6. Step 6: Final answer
    x = 328,476.76

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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.