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Finding the Fourth Proportional to 431,459.69, 647,523.71 and 347,425.63

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Solution

The fourth proportional to 431,459.69, 647,523.71 and 347,425.63 is: 521,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,459.69 : 647,523.71 = 347,425.63 : x
  2. Step 2: Convert to fraction form
    431,459.69/647,523.71 = 347,425.63/x
  3. Step 3: Cross multiply
    431,459.69x = 647,523.71 × 347,425.63
  4. Step 4: Simplify right side
    431,459.69x = 224,966,327,911.94
  5. Step 5: Solve for x
    x = 224,966,327,911.94/431,459.69
  6. Step 6: Final answer
    x = 521,407.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.