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Finding the Fourth Proportional to 340,939.96, 511,410.30 and 184,165.24

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Solution

The fourth proportional to 340,939.96, 511,410.30 and 184,165.24 is: 276,248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,939.96 : 511,410.30 = 184,165.24 : x
  2. Step 2: Convert to fraction form
    340,939.96/511,410.30 = 184,165.24/x
  3. Step 3: Cross multiply
    340,939.96x = 511,410.30 × 184,165.24
  4. Step 4: Simplify right side
    340,939.96x = 94,184,000,637.97
  5. Step 5: Solve for x
    x = 94,184,000,637.97/340,939.96
  6. Step 6: Final answer
    x = 276,248.05

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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.