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Finding the Fourth Proportional to 472,516.38, 708,773.20 and 117,530.42

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Solution

The fourth proportional to 472,516.38, 708,773.20 and 117,530.42 is: 176,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,516.38 : 708,773.20 = 117,530.42 : x
  2. Step 2: Convert to fraction form
    472,516.38/708,773.20 = 117,530.42/x
  3. Step 3: Cross multiply
    472,516.38x = 708,773.20 × 117,530.42
  4. Step 4: Simplify right side
    472,516.38x = 83,302,408,043.05
  5. Step 5: Solve for x
    x = 83,302,408,043.05/472,516.38
  6. Step 6: Final answer
    x = 176,295.28

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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.