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Finding the Fourth Proportional to 406,091.67, 560,410.94 and 224,806.63

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Solution

The fourth proportional to 406,091.67, 560,410.94 and 224,806.63 is: 310,235.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,091.67 : 560,410.94 = 224,806.63 : x
  2. Step 2: Convert to fraction form
    406,091.67/560,410.94 = 224,806.63/x
  3. Step 3: Cross multiply
    406,091.67x = 560,410.94 × 224,806.63
  4. Step 4: Simplify right side
    406,091.67x = 125,984,090,910.44
  5. Step 5: Solve for x
    x = 125,984,090,910.44/406,091.67
  6. Step 6: Final answer
    x = 310,235.60

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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.