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Finding the Fourth Proportional to 467,021.88, 700,637.61 and 142,838.31

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Solution

The fourth proportional to 467,021.88, 700,637.61 and 142,838.31 is: 214,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,021.88 : 700,637.61 = 142,838.31 : x
  2. Step 2: Convert to fraction form
    467,021.88/700,637.61 = 142,838.31/x
  3. Step 3: Cross multiply
    467,021.88x = 700,637.61 × 142,838.31
  4. Step 4: Simplify right side
    467,021.88x = 100,077,892,134.84
  5. Step 5: Solve for x
    x = 100,077,892,134.84/467,021.88
  6. Step 6: Final answer
    x = 214,289.51

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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.