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Finding the Fourth Proportional to 523,476.28, 785,339.70 and 168,523.48

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Solution

The fourth proportional to 523,476.28, 785,339.70 and 168,523.48 is: 252,825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,476.28 : 785,339.70 = 168,523.48 : x
  2. Step 2: Convert to fraction form
    523,476.28/785,339.70 = 168,523.48/x
  3. Step 3: Cross multiply
    523,476.28x = 785,339.70 × 168,523.48
  4. Step 4: Simplify right side
    523,476.28x = 132,348,179,226.16
  5. Step 5: Solve for x
    x = 132,348,179,226.16/523,476.28
  6. Step 6: Final answer
    x = 252,825.55

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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.