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Finding the Fourth Proportional to 290,296.32, 400,608.62 and 162,972.16

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Solution

The fourth proportional to 290,296.32, 400,608.62 and 162,972.16 is: 224,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,296.32 : 400,608.62 = 162,972.16 : x
  2. Step 2: Convert to fraction form
    290,296.32/400,608.62 = 162,972.16/x
  3. Step 3: Cross multiply
    290,296.32x = 400,608.62 × 162,972.16
  4. Step 4: Simplify right side
    290,296.32x = 65,288,052,116.02
  5. Step 5: Solve for x
    x = 65,288,052,116.02/290,296.32
  6. Step 6: Final answer
    x = 224,901.41

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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.