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Finding the Fourth Proportional to 571,036.20, 856,598.04 and 150,306

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Solution

The fourth proportional to 571,036.20, 856,598.04 and 150,306 is: 225,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,036.20 : 856,598.04 = 150,306 : x
  2. Step 2: Convert to fraction form
    571,036.20/856,598.04 = 150,306/x
  3. Step 3: Cross multiply
    571,036.20x = 856,598.04 × 150,306
  4. Step 4: Simplify right side
    571,036.20x = 128,751,825,000.24
  5. Step 5: Solve for x
    x = 128,751,825,000.24/571,036.20
  6. Step 6: Final answer
    x = 225,470.51

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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.