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Finding the Fourth Proportional to 414,149.38, 571,531.01 and 250,802.96

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Solution

The fourth proportional to 414,149.38, 571,531.01 and 250,802.96 is: 346,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,149.38 : 571,531.01 = 250,802.96 : x
  2. Step 2: Convert to fraction form
    414,149.38/571,531.01 = 250,802.96/x
  3. Step 3: Cross multiply
    414,149.38x = 571,531.01 × 250,802.96
  4. Step 4: Simplify right side
    414,149.38x = 143,341,669,039.79
  5. Step 5: Solve for x
    x = 143,341,669,039.79/414,149.38
  6. Step 6: Final answer
    x = 346,111.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.