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Finding the Fourth Proportional to 384,254.56, 575,200.74 and 327,567.52

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Solution

The fourth proportional to 384,254.56, 575,200.74 and 327,567.52 is: 490,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,254.56 : 575,200.74 = 327,567.52 : x
  2. Step 2: Convert to fraction form
    384,254.56/575,200.74 = 327,567.52/x
  3. Step 3: Cross multiply
    384,254.56x = 575,200.74 × 327,567.52
  4. Step 4: Simplify right side
    384,254.56x = 188,417,079,903.97
  5. Step 5: Solve for x
    x = 188,417,079,903.97/384,254.56
  6. Step 6: Final answer
    x = 490,344.42

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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.