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Finding the Fourth Proportional to 472,989.14, 709,061.75 and 173,399.76

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Solution

The fourth proportional to 472,989.14, 709,061.75 and 173,399.76 is: 259,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,989.14 : 709,061.75 = 173,399.76 : x
  2. Step 2: Convert to fraction form
    472,989.14/709,061.75 = 173,399.76/x
  3. Step 3: Cross multiply
    472,989.14x = 709,061.75 × 173,399.76
  4. Step 4: Simplify right side
    472,989.14x = 122,951,136,408.18
  5. Step 5: Solve for x
    x = 122,951,136,408.18/472,989.14
  6. Step 6: Final answer
    x = 259,944.95

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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.