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Finding the Fourth Proportional to 384,536.57, 575,684.01 and 224,121.94

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Solution

The fourth proportional to 384,536.57, 575,684.01 and 224,121.94 is: 335,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,536.57 : 575,684.01 = 224,121.94 : x
  2. Step 2: Convert to fraction form
    384,536.57/575,684.01 = 224,121.94/x
  3. Step 3: Cross multiply
    384,536.57x = 575,684.01 × 224,121.94
  4. Step 4: Simplify right side
    384,536.57x = 129,023,415,708.97
  5. Step 5: Solve for x
    x = 129,023,415,708.97/384,536.57
  6. Step 6: Final answer
    x = 335,529.64

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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.