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Finding the Fourth Proportional to 289,384.70, 433,493.85 and 164,579.90

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Solution

The fourth proportional to 289,384.70, 433,493.85 and 164,579.90 is: 246,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,384.70 : 433,493.85 = 164,579.90 : x
  2. Step 2: Convert to fraction form
    289,384.70/433,493.85 = 164,579.90/x
  3. Step 3: Cross multiply
    289,384.70x = 433,493.85 × 164,579.90
  4. Step 4: Simplify right side
    289,384.70x = 71,344,374,483.62
  5. Step 5: Solve for x
    x = 71,344,374,483.62/289,384.70
  6. Step 6: Final answer
    x = 246,538.17

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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.