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Finding the Fourth Proportional to 415,778.88, 573,774.84 and 224,792.22

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Solution

The fourth proportional to 415,778.88, 573,774.84 and 224,792.22 is: 310,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,778.88 : 573,774.84 = 224,792.22 : x
  2. Step 2: Convert to fraction form
    415,778.88/573,774.84 = 224,792.22/x
  3. Step 3: Cross multiply
    415,778.88x = 573,774.84 × 224,792.22
  4. Step 4: Simplify right side
    415,778.88x = 128,980,120,063.75
  5. Step 5: Solve for x
    x = 128,980,120,063.75/415,778.88
  6. Step 6: Final answer
    x = 310,213.26

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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.