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Finding the Fourth Proportional to 234,283.85, 323,070.05 and 200,404.49

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Solution

The fourth proportional to 234,283.85, 323,070.05 and 200,404.49 is: 276,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,283.85 : 323,070.05 = 200,404.49 : x
  2. Step 2: Convert to fraction form
    234,283.85/323,070.05 = 200,404.49/x
  3. Step 3: Cross multiply
    234,283.85x = 323,070.05 × 200,404.49
  4. Step 4: Simplify right side
    234,283.85x = 64,744,689,913.21
  5. Step 5: Solve for x
    x = 64,744,689,913.21/234,283.85
  6. Step 6: Final answer
    x = 276,351.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.