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Finding the Fourth Proportional to 504,774.64, 756,998.14 and 167,724.80

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Solution

The fourth proportional to 504,774.64, 756,998.14 and 167,724.80 is: 251,532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,774.64 : 756,998.14 = 167,724.80 : x
  2. Step 2: Convert to fraction form
    504,774.64/756,998.14 = 167,724.80/x
  3. Step 3: Cross multiply
    504,774.64x = 756,998.14 × 167,724.80
  4. Step 4: Simplify right side
    504,774.64x = 126,967,361,631.87
  5. Step 5: Solve for x
    x = 126,967,361,631.87/504,774.64
  6. Step 6: Final answer
    x = 251,532.77

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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.