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Finding the Fourth Proportional to 416,127.26, 573,732.80 and 339,568.59

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Solution

The fourth proportional to 416,127.26, 573,732.80 and 339,568.59 is: 468,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,127.26 : 573,732.80 = 339,568.59 : x
  2. Step 2: Convert to fraction form
    416,127.26/573,732.80 = 339,568.59/x
  3. Step 3: Cross multiply
    416,127.26x = 573,732.80 × 339,568.59
  4. Step 4: Simplify right side
    416,127.26x = 194,821,637,932.75
  5. Step 5: Solve for x
    x = 194,821,637,932.75/416,127.26
  6. Step 6: Final answer
    x = 468,178.02

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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.