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Finding the Fourth Proportional to 467,019.88, 700,634.61 and 142,836.31

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Solution

The fourth proportional to 467,019.88, 700,634.61 and 142,836.31 is: 214,286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,019.88 : 700,634.61 = 142,836.31 : x
  2. Step 2: Convert to fraction form
    467,019.88/700,634.61 = 142,836.31/x
  3. Step 3: Cross multiply
    467,019.88x = 700,634.61 × 142,836.31
  4. Step 4: Simplify right side
    467,019.88x = 100,076,063,226.48
  5. Step 5: Solve for x
    x = 100,076,063,226.48/467,019.88
  6. Step 6: Final answer
    x = 214,286.52

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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.