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Finding the Fourth Proportional to 384,062.60, 575,921.10 and 147,326.60

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Solution

The fourth proportional to 384,062.60, 575,921.10 and 147,326.60 is: 220,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,062.60 : 575,921.10 = 147,326.60 : x
  2. Step 2: Convert to fraction form
    384,062.60/575,921.10 = 147,326.60/x
  3. Step 3: Cross multiply
    384,062.60x = 575,921.10 × 147,326.60
  4. Step 4: Simplify right side
    384,062.60x = 84,848,497,531.26
  5. Step 5: Solve for x
    x = 84,848,497,531.26/384,062.60
  6. Step 6: Final answer
    x = 220,923.61

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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.