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Finding the Fourth Proportional to 274,025.80, 411,461.10 and 149,609.80

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Solution

The fourth proportional to 274,025.80, 411,461.10 and 149,609.80 is: 224,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,025.80 : 411,461.10 = 149,609.80 : x
  2. Step 2: Convert to fraction form
    274,025.80/411,461.10 = 149,609.80/x
  3. Step 3: Cross multiply
    274,025.80x = 411,461.10 × 149,609.80
  4. Step 4: Simplify right side
    274,025.80x = 61,558,612,878.78
  5. Step 5: Solve for x
    x = 61,558,612,878.78/274,025.80
  6. Step 6: Final answer
    x = 224,645.32

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1.5x scale

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.