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Finding the Fourth Proportional to 587,744.80, 881,962.80 and 213,719.20

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Solution

The fourth proportional to 587,744.80, 881,962.80 and 213,719.20 is: 320,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,744.80 : 881,962.80 = 213,719.20 : x
  2. Step 2: Convert to fraction form
    587,744.80/881,962.80 = 213,719.20/x
  3. Step 3: Cross multiply
    587,744.80x = 881,962.80 × 213,719.20
  4. Step 4: Simplify right side
    587,744.80x = 188,492,384,045.76
  5. Step 5: Solve for x
    x = 188,492,384,045.76/587,744.80
  6. Step 6: Final answer
    x = 320,704.47

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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.