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Finding the Fourth Proportional to 365,444.82, 547,917.76 and 194,692.06

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Solution

The fourth proportional to 365,444.82, 547,917.76 and 194,692.06 is: 291,905.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,444.82 : 547,917.76 = 194,692.06 : x
  2. Step 2: Convert to fraction form
    365,444.82/547,917.76 = 194,692.06/x
  3. Step 3: Cross multiply
    365,444.82x = 547,917.76 × 194,692.06
  4. Step 4: Simplify right side
    365,444.82x = 106,675,238,333.25
  5. Step 5: Solve for x
    x = 106,675,238,333.25/365,444.82
  6. Step 6: Final answer
    x = 291,905.19

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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.