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Finding the Fourth Proportional to 406,726.52, 561,316.20 and 225,495.29

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Solution

The fourth proportional to 406,726.52, 561,316.20 and 225,495.29 is: 311,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,726.52 : 561,316.20 = 225,495.29 : x
  2. Step 2: Convert to fraction form
    406,726.52/561,316.20 = 225,495.29/x
  3. Step 3: Cross multiply
    406,726.52x = 561,316.20 × 225,495.29
  4. Step 4: Simplify right side
    406,726.52x = 126,574,159,858.38
  5. Step 5: Solve for x
    x = 126,574,159,858.38/406,726.52
  6. Step 6: Final answer
    x = 311,202.14

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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.