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Finding the Fourth Proportional to 395,361, 592,974.78 and 110,986.32

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Solution

The fourth proportional to 395,361, 592,974.78 and 110,986.32 is: 166,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,361 : 592,974.78 = 110,986.32 : x
  2. Step 2: Convert to fraction form
    395,361/592,974.78 = 110,986.32/x
  3. Step 3: Cross multiply
    395,361x = 592,974.78 × 110,986.32
  4. Step 4: Simplify right side
    395,361x = 65,812,088,685.01
  5. Step 5: Solve for x
    x = 65,812,088,685.01/395,361
  6. Step 6: Final answer
    x = 166,460.75

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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.