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Finding the Fourth Proportional to 301,972.26, 453,106 and 213,792.42

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Solution

The fourth proportional to 301,972.26, 453,106 and 213,792.42 is: 320,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,972.26 : 453,106 = 213,792.42 : x
  2. Step 2: Convert to fraction form
    301,972.26/453,106 = 213,792.42/x
  3. Step 3: Cross multiply
    301,972.26x = 453,106 × 213,792.42
  4. Step 4: Simplify right side
    301,972.26x = 96,870,628,256.52
  5. Step 5: Solve for x
    x = 96,870,628,256.52/301,972.26
  6. Step 6: Final answer
    x = 320,793.14

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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.