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Finding the Fourth Proportional to 299,526.30, 413,437.83 and 184,840.02

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Solution

The fourth proportional to 299,526.30, 413,437.83 and 184,840.02 is: 255,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,526.30 : 413,437.83 = 184,840.02 : x
  2. Step 2: Convert to fraction form
    299,526.30/413,437.83 = 184,840.02/x
  3. Step 3: Cross multiply
    299,526.30x = 413,437.83 × 184,840.02
  4. Step 4: Simplify right side
    299,526.30x = 76,419,856,765.96
  5. Step 5: Solve for x
    x = 76,419,856,765.96/299,526.30
  6. Step 6: Final answer
    x = 255,135.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.