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Finding the Fourth Proportional to 587,522.80, 881,514.60 and 213,583.60

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Solution

The fourth proportional to 587,522.80, 881,514.60 and 213,583.60 is: 320,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,522.80 : 881,514.60 = 213,583.60 : x
  2. Step 2: Convert to fraction form
    587,522.80/881,514.60 = 213,583.60/x
  3. Step 3: Cross multiply
    587,522.80x = 881,514.60 × 213,583.60
  4. Step 4: Simplify right side
    587,522.80x = 188,277,061,720.56
  5. Step 5: Solve for x
    x = 188,277,061,720.56/587,522.80
  6. Step 6: Final answer
    x = 320,459.16

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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.