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Finding the Fourth Proportional to 360,529, 540,794.94 and 97,873

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Solution

The fourth proportional to 360,529, 540,794.94 and 97,873 is: 146,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,529 : 540,794.94 = 97,873 : x
  2. Step 2: Convert to fraction form
    360,529/540,794.94 = 97,873/x
  3. Step 3: Cross multiply
    360,529x = 540,794.94 × 97,873
  4. Step 4: Simplify right side
    360,529x = 52,929,223,162.62
  5. Step 5: Solve for x
    x = 52,929,223,162.62/360,529
  6. Step 6: Final answer
    x = 146,809.89

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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.