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Finding the Fourth Proportional to 501,483.84, 752,296 and 146,523.84

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Solution

The fourth proportional to 501,483.84, 752,296 and 146,523.84 is: 219,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,483.84 : 752,296 = 146,523.84 : x
  2. Step 2: Convert to fraction form
    501,483.84/752,296 = 146,523.84/x
  3. Step 3: Cross multiply
    501,483.84x = 752,296 × 146,523.84
  4. Step 4: Simplify right side
    501,483.84x = 110,229,298,736.64
  5. Step 5: Solve for x
    x = 110,229,298,736.64/501,483.84
  6. Step 6: Final answer
    x = 219,806.28

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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.