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Finding the Fourth Proportional to 462,967.70, 694,518.08 and 143,144.49

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Solution

The fourth proportional to 462,967.70, 694,518.08 and 143,144.49 is: 214,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,967.70 : 694,518.08 = 143,144.49 : x
  2. Step 2: Convert to fraction form
    462,967.70/694,518.08 = 143,144.49/x
  3. Step 3: Cross multiply
    462,967.70x = 694,518.08 × 143,144.49
  4. Step 4: Simplify right side
    462,967.70x = 99,416,439,051.29
  5. Step 5: Solve for x
    x = 99,416,439,051.29/462,967.70
  6. Step 6: Final answer
    x = 214,737.31

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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.