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Finding the Fourth Proportional to 406,402.44, 609,505.50 and 169,616.76

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Solution

The fourth proportional to 406,402.44, 609,505.50 and 169,616.76 is: 254,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,402.44 : 609,505.50 = 169,616.76 : x
  2. Step 2: Convert to fraction form
    406,402.44/609,505.50 = 169,616.76/x
  3. Step 3: Cross multiply
    406,402.44x = 609,505.50 × 169,616.76
  4. Step 4: Simplify right side
    406,402.44x = 103,382,348,112.18
  5. Step 5: Solve for x
    x = 103,382,348,112.18/406,402.44
  6. Step 6: Final answer
    x = 254,384.17

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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.