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Finding the Fourth Proportional to 437,115.98, 655,507.83 and 209,177.60

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Solution

The fourth proportional to 437,115.98, 655,507.83 and 209,177.60 is: 313,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,115.98 : 655,507.83 = 209,177.60 : x
  2. Step 2: Convert to fraction form
    437,115.98/655,507.83 = 209,177.60/x
  3. Step 3: Cross multiply
    437,115.98x = 655,507.83 × 209,177.60
  4. Step 4: Simplify right side
    437,115.98x = 137,117,554,660.61
  5. Step 5: Solve for x
    x = 137,117,554,660.61/437,115.98
  6. Step 6: Final answer
    x = 313,686.90

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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.