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Finding the Fourth Proportional to 337,006.20, 505,509.30 and 311,345.40

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Solution

The fourth proportional to 337,006.20, 505,509.30 and 311,345.40 is: 467,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,006.20 : 505,509.30 = 311,345.40 : x
  2. Step 2: Convert to fraction form
    337,006.20/505,509.30 = 311,345.40/x
  3. Step 3: Cross multiply
    337,006.20x = 505,509.30 × 311,345.40
  4. Step 4: Simplify right side
    337,006.20x = 157,387,995,212.22
  5. Step 5: Solve for x
    x = 157,387,995,212.22/337,006.20
  6. Step 6: Final answer
    x = 467,018.10

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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.