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Finding the Fourth Proportional to 410,386.44, 566,342.88 and 257,431.14

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Solution

The fourth proportional to 410,386.44, 566,342.88 and 257,431.14 is: 355,260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,386.44 : 566,342.88 = 257,431.14 : x
  2. Step 2: Convert to fraction form
    410,386.44/566,342.88 = 257,431.14/x
  3. Step 3: Cross multiply
    410,386.44x = 566,342.88 × 257,431.14
  4. Step 4: Simplify right side
    410,386.44x = 145,794,293,229.28
  5. Step 5: Solve for x
    x = 145,794,293,229.28/410,386.44
  6. Step 6: Final answer
    x = 355,260.99

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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.