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Finding the Fourth Proportional to 462,803.11, 638,479.87 and 301,599.43

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Solution

The fourth proportional to 462,803.11, 638,479.87 and 301,599.43 is: 416,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,803.11 : 638,479.87 = 301,599.43 : x
  2. Step 2: Convert to fraction form
    462,803.11/638,479.87 = 301,599.43/x
  3. Step 3: Cross multiply
    462,803.11x = 638,479.87 × 301,599.43
  4. Step 4: Simplify right side
    462,803.11x = 192,565,164,858.47
  5. Step 5: Solve for x
    x = 192,565,164,858.47/462,803.11
  6. Step 6: Final answer
    x = 416,084.42

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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.