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Finding the Fourth Proportional to 330,642.20, 497,000.10 and 324,421.40

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Solution

The fourth proportional to 330,642.20, 497,000.10 and 324,421.40 is: 487,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,642.20 : 497,000.10 = 324,421.40 : x
  2. Step 2: Convert to fraction form
    330,642.20/497,000.10 = 324,421.40/x
  3. Step 3: Cross multiply
    330,642.20x = 497,000.10 × 324,421.40
  4. Step 4: Simplify right side
    330,642.20x = 161,237,468,242.14
  5. Step 5: Solve for x
    x = 161,237,468,242.14/330,642.20
  6. Step 6: Final answer
    x = 487,649.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.