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Finding the Fourth Proportional to 302,494.72, 452,949.36 and 213,265.12

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Solution

The fourth proportional to 302,494.72, 452,949.36 and 213,265.12 is: 319,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,494.72 : 452,949.36 = 213,265.12 : x
  2. Step 2: Convert to fraction form
    302,494.72/452,949.36 = 213,265.12/x
  3. Step 3: Cross multiply
    302,494.72x = 452,949.36 × 213,265.12
  4. Step 4: Simplify right side
    302,494.72x = 96,598,299,614.32
  5. Step 5: Solve for x
    x = 96,598,299,614.32/302,494.72
  6. Step 6: Final answer
    x = 319,338.80

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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.