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Finding the Fourth Proportional to 314,349.60, 471,638.08 and 194,266

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Solution

The fourth proportional to 314,349.60, 471,638.08 and 194,266 is: 291,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,349.60 : 471,638.08 = 194,266 : x
  2. Step 2: Convert to fraction form
    314,349.60/471,638.08 = 194,266/x
  3. Step 3: Cross multiply
    314,349.60x = 471,638.08 × 194,266
  4. Step 4: Simplify right side
    314,349.60x = 91,623,243,249.28
  5. Step 5: Solve for x
    x = 91,623,243,249.28/314,349.60
  6. Step 6: Final answer
    x = 291,469.25

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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.