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Finding the Fourth Proportional to 306,571.29, 459,950.57 and 156,917.61

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Solution

The fourth proportional to 306,571.29, 459,950.57 and 156,917.61 is: 235,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,571.29 : 459,950.57 = 156,917.61 : x
  2. Step 2: Convert to fraction form
    306,571.29/459,950.57 = 156,917.61/x
  3. Step 3: Cross multiply
    306,571.29x = 459,950.57 × 156,917.61
  4. Step 4: Simplify right side
    306,571.29x = 72,174,343,377.95
  5. Step 5: Solve for x
    x = 72,174,343,377.95/306,571.29
  6. Step 6: Final answer
    x = 235,424.34

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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.