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Finding the Fourth Proportional to 4,627,478.68, 6,932,178.42 and 3,187,907.80

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Solution

The fourth proportional to 4,627,478.68, 6,932,178.42 and 3,187,907.80 is: 4,775,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627,478.68 : 6,932,178.42 = 3,187,907.80 : x
  2. Step 2: Convert to fraction form
    4,627,478.68/6,932,178.42 = 3,187,907.80/x
  3. Step 3: Cross multiply
    4,627,478.68x = 6,932,178.42 × 3,187,907.80
  4. Step 4: Simplify right side
    4,627,478.68x = 22,099,145,656,109.68
  5. Step 5: Solve for x
    x = 22,099,145,656,109.68/4,627,478.68
  6. Step 6: Final answer
    x = 4,775,634.25

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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.