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Finding the Fourth Proportional to 419,493.64, 628,892.16 and 166,618.12

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Solution

The fourth proportional to 419,493.64, 628,892.16 and 166,618.12 is: 249,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,493.64 : 628,892.16 = 166,618.12 : x
  2. Step 2: Convert to fraction form
    419,493.64/628,892.16 = 166,618.12/x
  3. Step 3: Cross multiply
    419,493.64x = 628,892.16 × 166,618.12
  4. Step 4: Simplify right side
    419,493.64x = 104,784,829,381.94
  5. Step 5: Solve for x
    x = 104,784,829,381.94/419,493.64
  6. Step 6: Final answer
    x = 249,788.84

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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.