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Finding the Fourth Proportional to 343,288.20, 514,932.30 and 284,968.20

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Solution

The fourth proportional to 343,288.20, 514,932.30 and 284,968.20 is: 427,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,288.20 : 514,932.30 = 284,968.20 : x
  2. Step 2: Convert to fraction form
    343,288.20/514,932.30 = 284,968.20/x
  3. Step 3: Cross multiply
    343,288.20x = 514,932.30 × 284,968.20
  4. Step 4: Simplify right side
    343,288.20x = 146,739,330,652.86
  5. Step 5: Solve for x
    x = 146,739,330,652.86/343,288.20
  6. Step 6: Final answer
    x = 427,452.30

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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.