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Finding the Fourth Proportional to 413,159.54, 619,637.24 and 113,625.59

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Solution

The fourth proportional to 413,159.54, 619,637.24 and 113,625.59 is: 170,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,159.54 : 619,637.24 = 113,625.59 : x
  2. Step 2: Convert to fraction form
    413,159.54/619,637.24 = 113,625.59/x
  3. Step 3: Cross multiply
    413,159.54x = 619,637.24 × 113,625.59
  4. Step 4: Simplify right side
    413,159.54x = 70,406,644,166.85
  5. Step 5: Solve for x
    x = 70,406,644,166.85/413,159.54
  6. Step 6: Final answer
    x = 170,410.31

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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.