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Finding the Fourth Proportional to 472,993.85, 709,068.78 and 173,404.46

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Solution

The fourth proportional to 472,993.85, 709,068.78 and 173,404.46 is: 259,951.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,993.85 : 709,068.78 = 173,404.46 : x
  2. Step 2: Convert to fraction form
    472,993.85/709,068.78 = 173,404.46/x
  3. Step 3: Cross multiply
    472,993.85x = 709,068.78 × 173,404.46
  4. Step 4: Simplify right side
    472,993.85x = 122,955,685,353.42
  5. Step 5: Solve for x
    x = 122,955,685,353.42/472,993.85
  6. Step 6: Final answer
    x = 259,951.98

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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.