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Finding the Fourth Proportional to 461,657.80, 691,320.30 and 303,027.40

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Solution

The fourth proportional to 461,657.80, 691,320.30 and 303,027.40 is: 453,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,657.80 : 691,320.30 = 303,027.40 : x
  2. Step 2: Convert to fraction form
    461,657.80/691,320.30 = 303,027.40/x
  3. Step 3: Cross multiply
    461,657.80x = 691,320.30 × 303,027.40
  4. Step 4: Simplify right side
    461,657.80x = 209,488,993,076.22
  5. Step 5: Solve for x
    x = 209,488,993,076.22/461,657.80
  6. Step 6: Final answer
    x = 453,775.49

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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.