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Finding the Fourth Proportional to 508,223.56, 762,212.04 and 171,177.16

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Solution

The fourth proportional to 508,223.56, 762,212.04 and 171,177.16 is: 256,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,223.56 : 762,212.04 = 171,177.16 : x
  2. Step 2: Convert to fraction form
    508,223.56/762,212.04 = 171,177.16/x
  3. Step 3: Cross multiply
    508,223.56x = 762,212.04 × 171,177.16
  4. Step 4: Simplify right side
    508,223.56x = 130,473,292,325.01
  5. Step 5: Solve for x
    x = 130,473,292,325.01/508,223.56
  6. Step 6: Final answer
    x = 256,724.21

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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.