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Finding the Fourth Proportional to 419,597.57, 629,945.16 and 249,130.49

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Solution

The fourth proportional to 419,597.57, 629,945.16 and 249,130.49 is: 374,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,597.57 : 629,945.16 = 249,130.49 : x
  2. Step 2: Convert to fraction form
    419,597.57/629,945.16 = 249,130.49/x
  3. Step 3: Cross multiply
    419,597.57x = 629,945.16 × 249,130.49
  4. Step 4: Simplify right side
    419,597.57x = 156,938,545,431.89
  5. Step 5: Solve for x
    x = 156,938,545,431.89/419,597.57
  6. Step 6: Final answer
    x = 374,021.58

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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.