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Finding the Fourth Proportional to 508,406.39, 762,415.36 and 171,356.48

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Solution

The fourth proportional to 508,406.39, 762,415.36 and 171,356.48 is: 256,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,406.39 : 762,415.36 = 171,356.48 : x
  2. Step 2: Convert to fraction form
    508,406.39/762,415.36 = 171,356.48/x
  3. Step 3: Cross multiply
    508,406.39x = 762,415.36 × 171,356.48
  4. Step 4: Simplify right side
    508,406.39x = 130,644,808,147.07
  5. Step 5: Solve for x
    x = 130,644,808,147.07/508,406.39
  6. Step 6: Final answer
    x = 256,969.25

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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.