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Finding the Fourth Proportional to 587,991.12, 882,069.12 and 188,538

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Solution

The fourth proportional to 587,991.12, 882,069.12 and 188,538 is: 282,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,991.12 : 882,069.12 = 188,538 : x
  2. Step 2: Convert to fraction form
    587,991.12/882,069.12 = 188,538/x
  3. Step 3: Cross multiply
    587,991.12x = 882,069.12 × 188,538
  4. Step 4: Simplify right side
    587,991.12x = 166,303,547,746.56
  5. Step 5: Solve for x
    x = 166,303,547,746.56/587,991.12
  6. Step 6: Final answer
    x = 282,833.43

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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.