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Finding the Fourth Proportional to 523,475.28, 785,338.20 and 168,522.48

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Solution

The fourth proportional to 523,475.28, 785,338.20 and 168,522.48 is: 252,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,475.28 : 785,338.20 = 168,522.48 : x
  2. Step 2: Convert to fraction form
    523,475.28/785,338.20 = 168,522.48/x
  3. Step 3: Cross multiply
    523,475.28x = 785,338.20 × 168,522.48
  4. Step 4: Simplify right side
    523,475.28x = 132,347,141,102.74
  5. Step 5: Solve for x
    x = 132,347,141,102.74/523,475.28
  6. Step 6: Final answer
    x = 252,824.05

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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.