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Finding the Fourth Proportional to 472,507.44, 708,539.49 and 172,778.43

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Solution

The fourth proportional to 472,507.44, 708,539.49 and 172,778.43 is: 259,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,507.44 : 708,539.49 = 172,778.43 : x
  2. Step 2: Convert to fraction form
    472,507.44/708,539.49 = 172,778.43/x
  3. Step 3: Cross multiply
    472,507.44x = 708,539.49 × 172,778.43
  4. Step 4: Simplify right side
    472,507.44x = 122,420,343,332.22
  5. Step 5: Solve for x
    x = 122,420,343,332.22/472,507.44
  6. Step 6: Final answer
    x = 259,086.60

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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.