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Finding the Fourth Proportional to 406,441.50, 609,662.32 and 169,655.02

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Solution

The fourth proportional to 406,441.50, 609,662.32 and 169,655.02 is: 254,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,441.50 : 609,662.32 = 169,655.02 : x
  2. Step 2: Convert to fraction form
    406,441.50/609,662.32 = 169,655.02/x
  3. Step 3: Cross multiply
    406,441.50x = 609,662.32 × 169,655.02
  4. Step 4: Simplify right side
    406,441.50x = 103,432,273,092.85
  5. Step 5: Solve for x
    x = 103,432,273,092.85/406,441.50
  6. Step 6: Final answer
    x = 254,482.56

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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.