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Finding the Fourth Proportional to 409,893.70, 614,840.55 and 241,932.10

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Solution

The fourth proportional to 409,893.70, 614,840.55 and 241,932.10 is: 362,898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,893.70 : 614,840.55 = 241,932.10 : x
  2. Step 2: Convert to fraction form
    409,893.70/614,840.55 = 241,932.10/x
  3. Step 3: Cross multiply
    409,893.70x = 614,840.55 × 241,932.10
  4. Step 4: Simplify right side
    409,893.70x = 148,749,665,426.66
  5. Step 5: Solve for x
    x = 148,749,665,426.66/409,893.70
  6. Step 6: Final answer
    x = 362,898.15

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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.