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Finding the Fourth Proportional to 571,758, 857,673.72 and 151,023.12

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Solution

The fourth proportional to 571,758, 857,673.72 and 151,023.12 is: 226,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,758 : 857,673.72 = 151,023.12 : x
  2. Step 2: Convert to fraction form
    571,758/857,673.72 = 151,023.12/x
  3. Step 3: Cross multiply
    571,758x = 857,673.72 × 151,023.12
  4. Step 4: Simplify right side
    571,758x = 129,528,561,136.41
  5. Step 5: Solve for x
    x = 129,528,561,136.41/571,758
  6. Step 6: Final answer
    x = 226,544.38

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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.