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Finding the Fourth Proportional to 467,394.12, 700,810.61 and 214,357.61

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Solution

The fourth proportional to 467,394.12, 700,810.61 and 214,357.61 is: 321,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,394.12 : 700,810.61 = 214,357.61 : x
  2. Step 2: Convert to fraction form
    467,394.12/700,810.61 = 214,357.61/x
  3. Step 3: Cross multiply
    467,394.12x = 700,810.61 × 214,357.61
  4. Step 4: Simplify right side
    467,394.12x = 150,224,088,102.48
  5. Step 5: Solve for x
    x = 150,224,088,102.48/467,394.12
  6. Step 6: Final answer
    x = 321,407.74

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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.