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Finding the Fourth Proportional to 668,103, 1,002,310.14 and 224,871

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Solution

The fourth proportional to 668,103, 1,002,310.14 and 224,871 is: 337,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,103 : 1,002,310.14 = 224,871 : x
  2. Step 2: Convert to fraction form
    668,103/1,002,310.14 = 224,871/x
  3. Step 3: Cross multiply
    668,103x = 1,002,310.14 × 224,871
  4. Step 4: Simplify right side
    668,103x = 225,390,483,491.94
  5. Step 5: Solve for x
    x = 225,390,483,491.94/668,103
  6. Step 6: Final answer
    x = 337,358.89

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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.