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Finding the Fourth Proportional to 462,508.02, 693,881.43 and 142,652.70

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Solution

The fourth proportional to 462,508.02, 693,881.43 and 142,652.70 is: 214,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,508.02 : 693,881.43 = 142,652.70 : x
  2. Step 2: Convert to fraction form
    462,508.02/693,881.43 = 142,652.70/x
  3. Step 3: Cross multiply
    462,508.02x = 693,881.43 × 142,652.70
  4. Step 4: Simplify right side
    462,508.02x = 98,984,059,469.36
  5. Step 5: Solve for x
    x = 98,984,059,469.36/462,508.02
  6. Step 6: Final answer
    x = 214,015.88

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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.