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Finding the Fourth Proportional to 659,467.40, 989,201.10 and 431,144.60

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Solution

The fourth proportional to 659,467.40, 989,201.10 and 431,144.60 is: 646,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,467.40 : 989,201.10 = 431,144.60 : x
  2. Step 2: Convert to fraction form
    659,467.40/989,201.10 = 431,144.60/x
  3. Step 3: Cross multiply
    659,467.40x = 989,201.10 × 431,144.60
  4. Step 4: Simplify right side
    659,467.40x = 426,488,712,579.06
  5. Step 5: Solve for x
    x = 426,488,712,579.06/659,467.40
  6. Step 6: Final answer
    x = 646,716.90

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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.