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Finding the Fourth Proportional to 391,685.84, 587,527.56 and 111,203.28

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Solution

The fourth proportional to 391,685.84, 587,527.56 and 111,203.28 is: 166,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,685.84 : 587,527.56 = 111,203.28 : x
  2. Step 2: Convert to fraction form
    391,685.84/587,527.56 = 111,203.28/x
  3. Step 3: Cross multiply
    391,685.84x = 587,527.56 × 111,203.28
  4. Step 4: Simplify right side
    391,685.84x = 65,334,991,762.40
  5. Step 5: Solve for x
    x = 65,334,991,762.40/391,685.84
  6. Step 6: Final answer
    x = 166,804.58

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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.