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Finding the Fourth Proportional to 463,017.45, 694,553.06 and 178,709.58

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Solution

The fourth proportional to 463,017.45, 694,553.06 and 178,709.58 is: 268,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,017.45 : 694,553.06 = 178,709.58 : x
  2. Step 2: Convert to fraction form
    463,017.45/694,553.06 = 178,709.58/x
  3. Step 3: Cross multiply
    463,017.45x = 694,553.06 × 178,709.58
  4. Step 4: Simplify right side
    463,017.45x = 124,123,284,746.77
  5. Step 5: Solve for x
    x = 124,123,284,746.77/463,017.45
  6. Step 6: Final answer
    x = 268,074.74

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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.