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Finding the Fourth Proportional to 587,986.90, 881,977.02 and 214,009.90

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Solution

The fourth proportional to 587,986.90, 881,977.02 and 214,009.90 is: 321,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,986.90 : 881,977.02 = 214,009.90 : x
  2. Step 2: Convert to fraction form
    587,986.90/881,977.02 = 214,009.90/x
  3. Step 3: Cross multiply
    587,986.90x = 881,977.02 × 214,009.90
  4. Step 4: Simplify right side
    587,986.90x = 188,751,813,852.50
  5. Step 5: Solve for x
    x = 188,751,813,852.50/587,986.90
  6. Step 6: Final answer
    x = 321,013.64

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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.