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Finding the Fourth Proportional to 463,458.45, 694,933.68 and 143,521.50

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Solution

The fourth proportional to 463,458.45, 694,933.68 and 143,521.50 is: 215,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,458.45 : 694,933.68 = 143,521.50 : x
  2. Step 2: Convert to fraction form
    463,458.45/694,933.68 = 143,521.50/x
  3. Step 3: Cross multiply
    463,458.45x = 694,933.68 × 143,521.50
  4. Step 4: Simplify right side
    463,458.45x = 99,737,924,154.12
  5. Step 5: Solve for x
    x = 99,737,924,154.12/463,458.45
  6. Step 6: Final answer
    x = 215,203.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.