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Finding the Fourth Proportional to 587,433, 881,150.16 and 160,972.44

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Solution

The fourth proportional to 587,433, 881,150.16 and 160,972.44 is: 241,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,433 : 881,150.16 = 160,972.44 : x
  2. Step 2: Convert to fraction form
    587,433/881,150.16 = 160,972.44/x
  3. Step 3: Cross multiply
    587,433x = 881,150.16 × 160,972.44
  4. Step 4: Simplify right side
    587,433x = 141,840,891,261.59
  5. Step 5: Solve for x
    x = 141,840,891,261.59/587,433
  6. Step 6: Final answer
    x = 241,458.84

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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.