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Finding the Fourth Proportional to 611,224.98, 916,843.77 and 184,764.30

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Solution

The fourth proportional to 611,224.98, 916,843.77 and 184,764.30 is: 277,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,224.98 : 916,843.77 = 184,764.30 : x
  2. Step 2: Convert to fraction form
    611,224.98/916,843.77 = 184,764.30/x
  3. Step 3: Cross multiply
    611,224.98x = 916,843.77 × 184,764.30
  4. Step 4: Simplify right side
    611,224.98x = 169,399,997,373.41
  5. Step 5: Solve for x
    x = 169,399,997,373.41/611,224.98
  6. Step 6: Final answer
    x = 277,148.35

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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.