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Finding the Fourth Proportional to 419,442.84, 628,915.41 and 166,587.30

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Solution

The fourth proportional to 419,442.84, 628,915.41 and 166,587.30 is: 249,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,442.84 : 628,915.41 = 166,587.30 : x
  2. Step 2: Convert to fraction form
    419,442.84/628,915.41 = 166,587.30/x
  3. Step 3: Cross multiply
    419,442.84x = 628,915.41 × 166,587.30
  4. Step 4: Simplify right side
    419,442.84x = 104,769,320,080.29
  5. Step 5: Solve for x
    x = 104,769,320,080.29/419,442.84
  6. Step 6: Final answer
    x = 249,782.12

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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.