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Finding the Fourth Proportional to 398,098.26, 549,391.14 and 226,032.23

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Solution

The fourth proportional to 398,098.26, 549,391.14 and 226,032.23 is: 311,933.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,098.26 : 549,391.14 = 226,032.23 : x
  2. Step 2: Convert to fraction form
    398,098.26/549,391.14 = 226,032.23/x
  3. Step 3: Cross multiply
    398,098.26x = 549,391.14 × 226,032.23
  4. Step 4: Simplify right side
    398,098.26x = 124,180,105,889.92
  5. Step 5: Solve for x
    x = 124,180,105,889.92/398,098.26
  6. Step 6: Final answer
    x = 311,933.30

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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.