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Finding the Fourth Proportional to 406,967.48, 610,538.70 and 137,122.44

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Solution

The fourth proportional to 406,967.48, 610,538.70 and 137,122.44 is: 205,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,967.48 : 610,538.70 = 137,122.44 : x
  2. Step 2: Convert to fraction form
    406,967.48/610,538.70 = 137,122.44/x
  3. Step 3: Cross multiply
    406,967.48x = 610,538.70 × 137,122.44
  4. Step 4: Simplify right side
    406,967.48x = 83,718,556,258.43
  5. Step 5: Solve for x
    x = 83,718,556,258.43/406,967.48
  6. Step 6: Final answer
    x = 205,713.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.