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Finding the Fourth Proportional to 385,214.20, 577,821.30 and 291,902.20

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Solution

The fourth proportional to 385,214.20, 577,821.30 and 291,902.20 is: 437,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,214.20 : 577,821.30 = 291,902.20 : x
  2. Step 2: Convert to fraction form
    385,214.20/577,821.30 = 291,902.20/x
  3. Step 3: Cross multiply
    385,214.20x = 577,821.30 × 291,902.20
  4. Step 4: Simplify right side
    385,214.20x = 168,667,308,676.86
  5. Step 5: Solve for x
    x = 168,667,308,676.86/385,214.20
  6. Step 6: Final answer
    x = 437,853.30

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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.