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Finding the Fourth Proportional to 290,151.54, 400,437.90 and 162,827.64

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Solution

The fourth proportional to 290,151.54, 400,437.90 and 162,827.64 is: 224,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,151.54 : 400,437.90 = 162,827.64 : x
  2. Step 2: Convert to fraction form
    290,151.54/400,437.90 = 162,827.64/x
  3. Step 3: Cross multiply
    290,151.54x = 400,437.90 × 162,827.64
  4. Step 4: Simplify right side
    290,151.54x = 65,202,358,223.56
  5. Step 5: Solve for x
    x = 65,202,358,223.56/290,151.54
  6. Step 6: Final answer
    x = 224,718.29

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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.