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Finding the Fourth Proportional to 346,485.86, 519,747.42 and 109,847

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Solution

The fourth proportional to 346,485.86, 519,747.42 and 109,847 is: 164,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,485.86 : 519,747.42 = 109,847 : x
  2. Step 2: Convert to fraction form
    346,485.86/519,747.42 = 109,847/x
  3. Step 3: Cross multiply
    346,485.86x = 519,747.42 × 109,847
  4. Step 4: Simplify right side
    346,485.86x = 57,092,694,844.74
  5. Step 5: Solve for x
    x = 57,092,694,844.74/346,485.86
  6. Step 6: Final answer
    x = 164,776.41

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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.