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Finding the Fourth Proportional to 415,770.37, 573,764.51 and 224,785.12

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Solution

The fourth proportional to 415,770.37, 573,764.51 and 224,785.12 is: 310,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,770.37 : 573,764.51 = 224,785.12 : x
  2. Step 2: Convert to fraction form
    415,770.37/573,764.51 = 224,785.12/x
  3. Step 3: Cross multiply
    415,770.37x = 573,764.51 × 224,785.12
  4. Step 4: Simplify right side
    415,770.37x = 128,973,724,232.09
  5. Step 5: Solve for x
    x = 128,973,724,232.09/415,770.37
  6. Step 6: Final answer
    x = 310,204.22

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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.