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Finding the Fourth Proportional to 415,757.79, 573,745.80 and 224,771.13

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Solution

The fourth proportional to 415,757.79, 573,745.80 and 224,771.13 is: 310,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,757.79 : 573,745.80 = 224,771.13 : x
  2. Step 2: Convert to fraction form
    415,757.79/573,745.80 = 224,771.13/x
  3. Step 3: Cross multiply
    415,757.79x = 573,745.80 × 224,771.13
  4. Step 4: Simplify right side
    415,757.79x = 128,961,491,798.75
  5. Step 5: Solve for x
    x = 128,961,491,798.75/415,757.79
  6. Step 6: Final answer
    x = 310,184.19

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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.