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Finding the Fourth Proportional to 463,979.91, 696,022.44 and 416,302.07

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Solution

The fourth proportional to 463,979.91, 696,022.44 and 416,302.07 is: 624,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,979.91 : 696,022.44 = 416,302.07 : x
  2. Step 2: Convert to fraction form
    463,979.91/696,022.44 = 416,302.07/x
  3. Step 3: Cross multiply
    463,979.91x = 696,022.44 × 416,302.07
  4. Step 4: Simplify right side
    463,979.91x = 289,755,586,690.38
  5. Step 5: Solve for x
    x = 289,755,586,690.38/463,979.91
  6. Step 6: Final answer
    x = 624,500.28

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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.