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Finding the Fourth Proportional to 406,915.57, 561,491.87 and 223,105.78

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Solution

The fourth proportional to 406,915.57, 561,491.87 and 223,105.78 is: 307,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,915.57 : 561,491.87 = 223,105.78 : x
  2. Step 2: Convert to fraction form
    406,915.57/561,491.87 = 223,105.78/x
  3. Step 3: Cross multiply
    406,915.57x = 561,491.87 × 223,105.78
  4. Step 4: Simplify right side
    406,915.57x = 125,272,079,930.41
  5. Step 5: Solve for x
    x = 125,272,079,930.41/406,915.57
  6. Step 6: Final answer
    x = 307,857.67

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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.