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Finding the Fourth Proportional to 290,354.16, 400,678.38 and 163,035.12

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Solution

The fourth proportional to 290,354.16, 400,678.38 and 163,035.12 is: 224,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,354.16 : 400,678.38 = 163,035.12 : x
  2. Step 2: Convert to fraction form
    290,354.16/400,678.38 = 163,035.12/x
  3. Step 3: Cross multiply
    290,354.16x = 400,678.38 × 163,035.12
  4. Step 4: Simplify right side
    290,354.16x = 65,324,647,764.71
  5. Step 5: Solve for x
    x = 65,324,647,764.71/290,354.16
  6. Step 6: Final answer
    x = 224,982.65

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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.