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Finding the Fourth Proportional to 406,823.26, 610,234.92 and 157,505.26

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Solution

The fourth proportional to 406,823.26, 610,234.92 and 157,505.26 is: 236,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,823.26 : 610,234.92 = 157,505.26 : x
  2. Step 2: Convert to fraction form
    406,823.26/610,234.92 = 157,505.26/x
  3. Step 3: Cross multiply
    406,823.26x = 610,234.92 × 157,505.26
  4. Step 4: Simplify right side
    406,823.26x = 96,115,209,735.68
  5. Step 5: Solve for x
    x = 96,115,209,735.68/406,823.26
  6. Step 6: Final answer
    x = 236,257.90

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1.5x scale

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.