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Finding the Fourth Proportional to 472,996.86, 709,073.28 and 173,407.47

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Solution

The fourth proportional to 472,996.86, 709,073.28 and 173,407.47 is: 259,956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,996.86 : 709,073.28 = 173,407.47 : x
  2. Step 2: Convert to fraction form
    472,996.86/709,073.28 = 173,407.47/x
  3. Step 3: Cross multiply
    472,996.86x = 709,073.28 × 173,407.47
  4. Step 4: Simplify right side
    472,996.86x = 122,958,603,529.40
  5. Step 5: Solve for x
    x = 122,958,603,529.40/472,996.86
  6. Step 6: Final answer
    x = 259,956.49

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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.