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Finding the Fourth Proportional to 415,729.58, 573,707.66 and 224,742.96

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Solution

The fourth proportional to 415,729.58, 573,707.66 and 224,742.96 is: 310,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,729.58 : 573,707.66 = 224,742.96 : x
  2. Step 2: Convert to fraction form
    415,729.58/573,707.66 = 224,742.96/x
  3. Step 3: Cross multiply
    415,729.58x = 573,707.66 × 224,742.96
  4. Step 4: Simplify right side
    415,729.58x = 128,936,756,559.36
  5. Step 5: Solve for x
    x = 128,936,756,559.36/415,729.58
  6. Step 6: Final answer
    x = 310,145.74

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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.