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Finding the Fourth Proportional to 234,282.48, 323,068.17 and 200,403.12

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Solution

The fourth proportional to 234,282.48, 323,068.17 and 200,403.12 is: 276,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,282.48 : 323,068.17 = 200,403.12 : x
  2. Step 2: Convert to fraction form
    234,282.48/323,068.17 = 200,403.12/x
  3. Step 3: Cross multiply
    234,282.48x = 323,068.17 × 200,403.12
  4. Step 4: Simplify right side
    234,282.48x = 64,743,869,240.69
  5. Step 5: Solve for x
    x = 64,743,869,240.69/234,282.48
  6. Step 6: Final answer
    x = 276,349.60

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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.