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Finding the Fourth Proportional to 486,523.48, 729,487.14 and 171,016.60

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Solution

The fourth proportional to 486,523.48, 729,487.14 and 171,016.60 is: 256,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,523.48 : 729,487.14 = 171,016.60 : x
  2. Step 2: Convert to fraction form
    486,523.48/729,487.14 = 171,016.60/x
  3. Step 3: Cross multiply
    486,523.48x = 729,487.14 × 171,016.60
  4. Step 4: Simplify right side
    486,523.48x = 124,754,410,426.52
  5. Step 5: Solve for x
    x = 124,754,410,426.52/486,523.48
  6. Step 6: Final answer
    x = 256,420.12

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Why These Related Problems?

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