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Finding the Fourth Proportional to 508,084.64, 762,164.22 and 171,123.56

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Solution

The fourth proportional to 508,084.64, 762,164.22 and 171,123.56 is: 256,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,084.64 : 762,164.22 = 171,123.56 : x
  2. Step 2: Convert to fraction form
    508,084.64/762,164.22 = 171,123.56/x
  3. Step 3: Cross multiply
    508,084.64x = 762,164.22 × 171,123.56
  4. Step 4: Simplify right side
    508,084.64x = 130,424,254,631.02
  5. Step 5: Solve for x
    x = 130,424,254,631.02/508,084.64
  6. Step 6: Final answer
    x = 256,697.89

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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.