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Finding the Fourth Proportional to 306,238.76, 459,451.54 and 156,584.17

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Solution

The fourth proportional to 306,238.76, 459,451.54 and 156,584.17 is: 234,924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,238.76 : 459,451.54 = 156,584.17 : x
  2. Step 2: Convert to fraction form
    306,238.76/459,451.54 = 156,584.17/x
  3. Step 3: Cross multiply
    306,238.76x = 459,451.54 × 156,584.17
  4. Step 4: Simplify right side
    306,238.76x = 71,942,838,816.17
  5. Step 5: Solve for x
    x = 71,942,838,816.17/306,238.76
  6. Step 6: Final answer
    x = 234,924.02

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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.