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Finding the Fourth Proportional to 453,858.60, 681,047.10 and 313,717.80

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Solution

The fourth proportional to 453,858.60, 681,047.10 and 313,717.80 is: 470,755.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,858.60 : 681,047.10 = 313,717.80 : x
  2. Step 2: Convert to fraction form
    453,858.60/681,047.10 = 313,717.80/x
  3. Step 3: Cross multiply
    453,858.60x = 681,047.10 × 313,717.80
  4. Step 4: Simplify right side
    453,858.60x = 213,656,597,908.38
  5. Step 5: Solve for x
    x = 213,656,597,908.38/453,858.60
  6. Step 6: Final answer
    x = 470,755.87

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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.