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Finding the Fourth Proportional to 463,722.20, 696,428.10 and 277,098.20

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Solution

The fourth proportional to 463,722.20, 696,428.10 and 277,098.20 is: 416,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,722.20 : 696,428.10 = 277,098.20 : x
  2. Step 2: Convert to fraction form
    463,722.20/696,428.10 = 277,098.20/x
  3. Step 3: Cross multiply
    463,722.20x = 696,428.10 × 277,098.20
  4. Step 4: Simplify right side
    463,722.20x = 192,978,972,939.42
  5. Step 5: Solve for x
    x = 192,978,972,939.42/463,722.20
  6. Step 6: Final answer
    x = 416,152.11

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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.