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Finding the Fourth Proportional to 234,283.98, 323,070.24 and 200,404.62

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Solution

The fourth proportional to 234,283.98, 323,070.24 and 200,404.62 is: 276,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,283.98 : 323,070.24 = 200,404.62 : x
  2. Step 2: Convert to fraction form
    234,283.98/323,070.24 = 200,404.62/x
  3. Step 3: Cross multiply
    234,283.98x = 323,070.24 × 200,404.62
  4. Step 4: Simplify right side
    234,283.98x = 64,744,768,680.51
  5. Step 5: Solve for x
    x = 64,744,768,680.51/234,283.98
  6. Step 6: Final answer
    x = 276,351.67

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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.