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Finding the Fourth Proportional to 413,108.40, 618,350.40 and 295,010.40

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Solution

The fourth proportional to 413,108.40, 618,350.40 and 295,010.40 is: 441,578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,108.40 : 618,350.40 = 295,010.40 : x
  2. Step 2: Convert to fraction form
    413,108.40/618,350.40 = 295,010.40/x
  3. Step 3: Cross multiply
    413,108.40x = 618,350.40 × 295,010.40
  4. Step 4: Simplify right side
    413,108.40x = 182,419,798,844.16
  5. Step 5: Solve for x
    x = 182,419,798,844.16/413,108.40
  6. Step 6: Final answer
    x = 441,578.53

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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.