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Finding the Fourth Proportional to 409,835.52, 614,454.48 and 276,384.24

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Solution

The fourth proportional to 409,835.52, 614,454.48 and 276,384.24 is: 414,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,835.52 : 614,454.48 = 276,384.24 : x
  2. Step 2: Convert to fraction form
    409,835.52/614,454.48 = 276,384.24/x
  3. Step 3: Cross multiply
    409,835.52x = 614,454.48 × 276,384.24
  4. Step 4: Simplify right side
    409,835.52x = 169,825,534,469.40
  5. Step 5: Solve for x
    x = 169,825,534,469.40/409,835.52
  6. Step 6: Final answer
    x = 414,374.86

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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.