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Finding the Fourth Proportional to 406,443.01, 560,891.28 and 225,166.72

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Solution

The fourth proportional to 406,443.01, 560,891.28 and 225,166.72 is: 310,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,443.01 : 560,891.28 = 225,166.72 : x
  2. Step 2: Convert to fraction form
    406,443.01/560,891.28 = 225,166.72/x
  3. Step 3: Cross multiply
    406,443.01x = 560,891.28 × 225,166.72
  4. Step 4: Simplify right side
    406,443.01x = 126,294,049,794.20
  5. Step 5: Solve for x
    x = 126,294,049,794.20/406,443.01
  6. Step 6: Final answer
    x = 310,730.03

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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.