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Finding the Fourth Proportional to 413,022.78, 619,759.80 and 160,313.22

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Solution

The fourth proportional to 413,022.78, 619,759.80 and 160,313.22 is: 240,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,022.78 : 619,759.80 = 160,313.22 : x
  2. Step 2: Convert to fraction form
    413,022.78/619,759.80 = 160,313.22/x
  3. Step 3: Cross multiply
    413,022.78x = 619,759.80 × 160,313.22
  4. Step 4: Simplify right side
    413,022.78x = 99,355,689,164.56
  5. Step 5: Solve for x
    x = 99,355,689,164.56/413,022.78
  6. Step 6: Final answer
    x = 240,557.41

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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.