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Finding the Fourth Proportional to 472,635.30, 709,058.70 and 173,109.90

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Solution

The fourth proportional to 472,635.30, 709,058.70 and 173,109.90 is: 259,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,635.30 : 709,058.70 = 173,109.90 : x
  2. Step 2: Convert to fraction form
    472,635.30/709,058.70 = 173,109.90/x
  3. Step 3: Cross multiply
    472,635.30x = 709,058.70 × 173,109.90
  4. Step 4: Simplify right side
    472,635.30x = 122,745,080,651.13
  5. Step 5: Solve for x
    x = 122,745,080,651.13/472,635.30
  6. Step 6: Final answer
    x = 259,703.58

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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.