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Finding the Fourth Proportional to 406,064.57, 560,362.28 and 224,772.62

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Solution

The fourth proportional to 406,064.57, 560,362.28 and 224,772.62 is: 310,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,064.57 : 560,362.28 = 224,772.62 : x
  2. Step 2: Convert to fraction form
    406,064.57/560,362.28 = 224,772.62/x
  3. Step 3: Cross multiply
    406,064.57x = 560,362.28 × 224,772.62
  4. Step 4: Simplify right side
    406,064.57x = 125,954,093,899.10
  5. Step 5: Solve for x
    x = 125,954,093,899.10/406,064.57
  6. Step 6: Final answer
    x = 310,182.43

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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.