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Finding the Fourth Proportional to 415,786.32, 573,783.87 and 224,799.71

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Solution

The fourth proportional to 415,786.32, 573,783.87 and 224,799.71 is: 310,222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,786.32 : 573,783.87 = 224,799.71 : x
  2. Step 2: Convert to fraction form
    415,786.32/573,783.87 = 224,799.71/x
  3. Step 3: Cross multiply
    415,786.32x = 573,783.87 × 224,799.71
  4. Step 4: Simplify right side
    415,786.32x = 128,986,446,454.68
  5. Step 5: Solve for x
    x = 128,986,446,454.68/415,786.32
  6. Step 6: Final answer
    x = 310,222.92

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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.