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Finding the Fourth Proportional to 453,758.10, 680,896.35 and 313,617.30

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Solution

The fourth proportional to 453,758.10, 680,896.35 and 313,617.30 is: 470,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,758.10 : 680,896.35 = 313,617.30 : x
  2. Step 2: Convert to fraction form
    453,758.10/680,896.35 = 313,617.30/x
  3. Step 3: Cross multiply
    453,758.10x = 680,896.35 × 313,617.30
  4. Step 4: Simplify right side
    453,758.10x = 213,540,874,866.86
  5. Step 5: Solve for x
    x = 213,540,874,866.86/453,758.10
  6. Step 6: Final answer
    x = 470,605.10

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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.