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Finding the Fourth Proportional to 379,151.74, 523,242.32 and 224,235.83

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Solution

The fourth proportional to 379,151.74, 523,242.32 and 224,235.83 is: 309,453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,151.74 : 523,242.32 = 224,235.83 : x
  2. Step 2: Convert to fraction form
    379,151.74/523,242.32 = 224,235.83/x
  3. Step 3: Cross multiply
    379,151.74x = 523,242.32 × 224,235.83
  4. Step 4: Simplify right side
    379,151.74x = 117,329,675,916.33
  5. Step 5: Solve for x
    x = 117,329,675,916.33/379,151.74
  6. Step 6: Final answer
    x = 309,453.09

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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.