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Finding the Fourth Proportional to 401,057.58, 601,639.70 and 187,796.37

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Solution

The fourth proportional to 401,057.58, 601,639.70 and 187,796.37 is: 281,719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,057.58 : 601,639.70 = 187,796.37 : x
  2. Step 2: Convert to fraction form
    401,057.58/601,639.70 = 187,796.37/x
  3. Step 3: Cross multiply
    401,057.58x = 601,639.70 × 187,796.37
  4. Step 4: Simplify right side
    401,057.58x = 112,985,754,081.41
  5. Step 5: Solve for x
    x = 112,985,754,081.41/401,057.58
  6. Step 6: Final answer
    x = 281,719.53

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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.