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Finding the Fourth Proportional to 379,150.74, 523,240.94 and 224,234.83

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Solution

The fourth proportional to 379,150.74, 523,240.94 and 224,234.83 is: 309,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,150.74 : 523,240.94 = 224,234.83 : x
  2. Step 2: Convert to fraction form
    379,150.74/523,240.94 = 224,234.83/x
  3. Step 3: Cross multiply
    379,150.74x = 523,240.94 × 224,234.83
  4. Step 4: Simplify right side
    379,150.74x = 117,328,845,075.31
  5. Step 5: Solve for x
    x = 117,328,845,075.31/379,150.74
  6. Step 6: Final answer
    x = 309,451.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.