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Finding the Fourth Proportional to 456,084.24, 629,396.16 and 249,353.34

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Solution

The fourth proportional to 456,084.24, 629,396.16 and 249,353.34 is: 344,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,084.24 : 629,396.16 = 249,353.34 : x
  2. Step 2: Convert to fraction form
    456,084.24/629,396.16 = 249,353.34/x
  3. Step 3: Cross multiply
    456,084.24x = 629,396.16 × 249,353.34
  4. Step 4: Simplify right side
    456,084.24x = 156,942,034,679.17
  5. Step 5: Solve for x
    x = 156,942,034,679.17/456,084.24
  6. Step 6: Final answer
    x = 344,107.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.