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Finding the Fourth Proportional to 462,830.80, 694,297.23 and 147,213.90

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Solution

The fourth proportional to 462,830.80, 694,297.23 and 147,213.90 is: 220,837.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,830.80 : 694,297.23 = 147,213.90 : x
  2. Step 2: Convert to fraction form
    462,830.80/694,297.23 = 147,213.90/x
  3. Step 3: Cross multiply
    462,830.80x = 694,297.23 × 147,213.90
  4. Step 4: Simplify right side
    462,830.80x = 102,210,202,987.50
  5. Step 5: Solve for x
    x = 102,210,202,987.50/462,830.80
  6. Step 6: Final answer
    x = 220,837.08

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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.