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Finding the Fourth Proportional to 571,507.32, 857,195.28 and 150,816

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Solution

The fourth proportional to 571,507.32, 857,195.28 and 150,816 is: 226,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,507.32 : 857,195.28 = 150,816 : x
  2. Step 2: Convert to fraction form
    571,507.32/857,195.28 = 150,816/x
  3. Step 3: Cross multiply
    571,507.32x = 857,195.28 × 150,816
  4. Step 4: Simplify right side
    571,507.32x = 129,278,763,348.48
  5. Step 5: Solve for x
    x = 129,278,763,348.48/571,507.32
  6. Step 6: Final answer
    x = 226,206.66

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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.