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Finding the Fourth Proportional to 472,524.45, 708,789.24 and 117,538.48

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Solution

The fourth proportional to 472,524.45, 708,789.24 and 117,538.48 is: 176,308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,524.45 : 708,789.24 = 117,538.48 : x
  2. Step 2: Convert to fraction form
    472,524.45/708,789.24 = 117,538.48/x
  3. Step 3: Cross multiply
    472,524.45x = 708,789.24 × 117,538.48
  4. Step 4: Simplify right side
    472,524.45x = 83,310,009,909.96
  5. Step 5: Solve for x
    x = 83,310,009,909.96/472,524.45
  6. Step 6: Final answer
    x = 176,308.36

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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.