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Finding the Fourth Proportional to 409,856.20, 614,784.30 and 232,709.20

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Solution

The fourth proportional to 409,856.20, 614,784.30 and 232,709.20 is: 349,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,856.20 : 614,784.30 = 232,709.20 : x
  2. Step 2: Convert to fraction form
    409,856.20/614,784.30 = 232,709.20/x
  3. Step 3: Cross multiply
    409,856.20x = 614,784.30 × 232,709.20
  4. Step 4: Simplify right side
    409,856.20x = 143,065,962,625.56
  5. Step 5: Solve for x
    x = 143,065,962,625.56/409,856.20
  6. Step 6: Final answer
    x = 349,063.80

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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.