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Finding the Fourth Proportional to 406,191.47, 560,505.30 and 224,896.77

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Solution

The fourth proportional to 406,191.47, 560,505.30 and 224,896.77 is: 310,335.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,191.47 : 560,505.30 = 224,896.77 : x
  2. Step 2: Convert to fraction form
    406,191.47/560,505.30 = 224,896.77/x
  3. Step 3: Cross multiply
    406,191.47x = 560,505.30 × 224,896.77
  4. Step 4: Simplify right side
    406,191.47x = 126,055,831,537.88
  5. Step 5: Solve for x
    x = 126,055,831,537.88/406,191.47
  6. Step 6: Final answer
    x = 310,335.99

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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.