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Finding the Fourth Proportional to 406,963.50, 610,445.26 and 157,645.50

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Solution

The fourth proportional to 406,963.50, 610,445.26 and 157,645.50 is: 236,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,963.50 : 610,445.26 = 157,645.50 : x
  2. Step 2: Convert to fraction form
    406,963.50/610,445.26 = 157,645.50/x
  3. Step 3: Cross multiply
    406,963.50x = 610,445.26 × 157,645.50
  4. Step 4: Simplify right side
    406,963.50x = 96,233,948,235.33
  5. Step 5: Solve for x
    x = 96,233,948,235.33/406,963.50
  6. Step 6: Final answer
    x = 236,468.25

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