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Finding the Fourth Proportional to 440,699.31, 661,096.35 and 188,006.51

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Solution

The fourth proportional to 440,699.31, 661,096.35 and 188,006.51 is: 282,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,699.31 : 661,096.35 = 188,006.51 : x
  2. Step 2: Convert to fraction form
    440,699.31/661,096.35 = 188,006.51/x
  3. Step 3: Cross multiply
    440,699.31x = 661,096.35 × 188,006.51
  4. Step 4: Simplify right side
    440,699.31x = 124,290,414,231.76
  5. Step 5: Solve for x
    x = 124,290,414,231.76/440,699.31
  6. Step 6: Final answer
    x = 282,029.97

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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.