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Finding the Fourth Proportional to 587,684.20, 881,817.90 and 232,709.80

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Solution

The fourth proportional to 587,684.20, 881,817.90 and 232,709.80 is: 349,180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,684.20 : 881,817.90 = 232,709.80 : x
  2. Step 2: Convert to fraction form
    587,684.20/881,817.90 = 232,709.80/x
  3. Step 3: Cross multiply
    587,684.20x = 881,817.90 × 232,709.80
  4. Step 4: Simplify right side
    587,684.20x = 205,207,667,145.42
  5. Step 5: Solve for x
    x = 205,207,667,145.42/587,684.20
  6. Step 6: Final answer
    x = 349,180.17

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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.