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Finding the Fourth Proportional to 413,058.52, 619,468.62 and 113,548.87

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Solution

The fourth proportional to 413,058.52, 619,468.62 and 113,548.87 is: 170,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,058.52 : 619,468.62 = 113,548.87 : x
  2. Step 2: Convert to fraction form
    413,058.52/619,468.62 = 113,548.87/x
  3. Step 3: Cross multiply
    413,058.52x = 619,468.62 × 113,548.87
  4. Step 4: Simplify right side
    413,058.52x = 70,339,961,801.46
  5. Step 5: Solve for x
    x = 70,339,961,801.46/413,058.52
  6. Step 6: Final answer
    x = 170,290.55

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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.