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Finding the Fourth Proportional to 415,321.82, 573,144.13 and 224,335.21

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Solution

The fourth proportional to 415,321.82, 573,144.13 and 224,335.21 is: 309,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,321.82 : 573,144.13 = 224,335.21 : x
  2. Step 2: Convert to fraction form
    415,321.82/573,144.13 = 224,335.21/x
  3. Step 3: Cross multiply
    415,321.82x = 573,144.13 × 224,335.21
  4. Step 4: Simplify right side
    415,321.82x = 128,576,407,249.10
  5. Step 5: Solve for x
    x = 128,576,407,249.10/415,321.82
  6. Step 6: Final answer
    x = 309,582.60

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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.