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Finding the Fourth Proportional to 406,924.75, 610,387.13 and 157,606.75

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Solution

The fourth proportional to 406,924.75, 610,387.13 and 157,606.75 is: 236,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,924.75 : 610,387.13 = 157,606.75 : x
  2. Step 2: Convert to fraction form
    406,924.75/610,387.13 = 157,606.75/x
  3. Step 3: Cross multiply
    406,924.75x = 610,387.13 × 157,606.75
  4. Step 4: Simplify right side
    406,924.75x = 96,201,131,801.13
  5. Step 5: Solve for x
    x = 96,201,131,801.13/406,924.75
  6. Step 6: Final answer
    x = 236,410.13

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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.