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Finding the Fourth Proportional to 413,805.47, 571,119.21 and 344,785.41

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Solution

The fourth proportional to 413,805.47, 571,119.21 and 344,785.41 is: 475,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,805.47 : 571,119.21 = 344,785.41 : x
  2. Step 2: Convert to fraction form
    413,805.47/571,119.21 = 344,785.41/x
  3. Step 3: Cross multiply
    413,805.47x = 571,119.21 × 344,785.41
  4. Step 4: Simplify right side
    413,805.47x = 196,913,570,978.73
  5. Step 5: Solve for x
    x = 196,913,570,978.73/413,805.47
  6. Step 6: Final answer
    x = 475,860.25

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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.