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Finding the Fourth Proportional to 337,807.92, 506,858.94 and 211,737

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Solution

The fourth proportional to 337,807.92, 506,858.94 and 211,737 is: 317,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,807.92 : 506,858.94 = 211,737 : x
  2. Step 2: Convert to fraction form
    337,807.92/506,858.94 = 211,737/x
  3. Step 3: Cross multiply
    337,807.92x = 506,858.94 × 211,737
  4. Step 4: Simplify right side
    337,807.92x = 107,320,791,378.78
  5. Step 5: Solve for x
    x = 107,320,791,378.78/337,807.92
  6. Step 6: Final answer
    x = 317,697.68

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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.