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Finding the Fourth Proportional to 406,266.27, 560,646.95 and 224,977.98

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Solution

The fourth proportional to 406,266.27, 560,646.95 and 224,977.98 is: 310,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,266.27 : 560,646.95 = 224,977.98 : x
  2. Step 2: Convert to fraction form
    406,266.27/560,646.95 = 224,977.98/x
  3. Step 3: Cross multiply
    406,266.27x = 560,646.95 × 224,977.98
  4. Step 4: Simplify right side
    406,266.27x = 126,133,217,179.27
  5. Step 5: Solve for x
    x = 126,133,217,179.27/406,266.27
  6. Step 6: Final answer
    x = 310,469.33

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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.