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Finding the Fourth Proportional to 406,850.46, 610,192.28 and 154,043.73

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Solution

The fourth proportional to 406,850.46, 610,192.28 and 154,043.73 is: 231,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,850.46 : 610,192.28 = 154,043.73 : x
  2. Step 2: Convert to fraction form
    406,850.46/610,192.28 = 154,043.73/x
  3. Step 3: Cross multiply
    406,850.46x = 610,192.28 × 154,043.73
  4. Step 4: Simplify right side
    406,850.46x = 93,996,294,058.19
  5. Step 5: Solve for x
    x = 93,996,294,058.19/406,850.46
  6. Step 6: Final answer
    x = 231,034.01

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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.