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Finding the Fourth Proportional to 413,058.74, 619,475.45 and 113,468.09

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Solution

The fourth proportional to 413,058.74, 619,475.45 and 113,468.09 is: 170,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,058.74 : 619,475.45 = 113,468.09 : x
  2. Step 2: Convert to fraction form
    413,058.74/619,475.45 = 113,468.09/x
  3. Step 3: Cross multiply
    413,058.74x = 619,475.45 × 113,468.09
  4. Step 4: Simplify right side
    413,058.74x = 70,290,692,448.67
  5. Step 5: Solve for x
    x = 70,290,692,448.67/413,058.74
  6. Step 6: Final answer
    x = 170,171.18

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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.