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Finding the Fourth Proportional to 382,118.80, 571,817.40 and 332,741.20

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Solution

The fourth proportional to 382,118.80, 571,817.40 and 332,741.20 is: 497,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,118.80 : 571,817.40 = 332,741.20 : x
  2. Step 2: Convert to fraction form
    382,118.80/571,817.40 = 332,741.20/x
  3. Step 3: Cross multiply
    382,118.80x = 571,817.40 × 332,741.20
  4. Step 4: Simplify right side
    382,118.80x = 190,267,207,856.88
  5. Step 5: Solve for x
    x = 190,267,207,856.88/382,118.80
  6. Step 6: Final answer
    x = 497,926.84

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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.