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Finding the Fourth Proportional to 467,168.16, 700,205.61 and 214,473.08

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Solution

The fourth proportional to 467,168.16, 700,205.61 and 214,473.08 is: 321,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,168.16 : 700,205.61 = 214,473.08 : x
  2. Step 2: Convert to fraction form
    467,168.16/700,205.61 = 214,473.08/x
  3. Step 3: Cross multiply
    467,168.16x = 700,205.61 × 214,473.08
  4. Step 4: Simplify right side
    467,168.16x = 150,175,250,308.95
  5. Step 5: Solve for x
    x = 150,175,250,308.95/467,168.16
  6. Step 6: Final answer
    x = 321,458.66

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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.