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Finding the Fourth Proportional to 334,494.78, 461,759.86 and 224,301

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Solution

The fourth proportional to 334,494.78, 461,759.86 and 224,301 is: 309,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,494.78 : 461,759.86 = 224,301 : x
  2. Step 2: Convert to fraction form
    334,494.78/461,759.86 = 224,301/x
  3. Step 3: Cross multiply
    334,494.78x = 461,759.86 × 224,301
  4. Step 4: Simplify right side
    334,494.78x = 103,573,198,357.86
  5. Step 5: Solve for x
    x = 103,573,198,357.86/334,494.78
  6. Step 6: Final answer
    x = 309,640.70

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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.