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Finding the Fourth Proportional to 463,681.48, 694,635.52 and 313,664.08

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Solution

The fourth proportional to 463,681.48, 694,635.52 and 313,664.08 is: 469,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,681.48 : 694,635.52 = 313,664.08 : x
  2. Step 2: Convert to fraction form
    463,681.48/694,635.52 = 313,664.08/x
  3. Step 3: Cross multiply
    463,681.48x = 694,635.52 × 313,664.08
  4. Step 4: Simplify right side
    463,681.48x = 217,882,211,316.12
  5. Step 5: Solve for x
    x = 217,882,211,316.12/463,681.48
  6. Step 6: Final answer
    x = 469,896.30

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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.