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Finding the Fourth Proportional to 384,847.90, 577,027.32 and 337,557.94

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Solution

The fourth proportional to 384,847.90, 577,027.32 and 337,557.94 is: 506,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,847.90 : 577,027.32 = 337,557.94 : x
  2. Step 2: Convert to fraction form
    384,847.90/577,027.32 = 337,557.94/x
  3. Step 3: Cross multiply
    384,847.90x = 577,027.32 × 337,557.94
  4. Step 4: Simplify right side
    384,847.90x = 194,780,153,462.92
  5. Step 5: Solve for x
    x = 194,780,153,462.92/384,847.90
  6. Step 6: Final answer
    x = 506,122.43

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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.