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Finding the Fourth Proportional to 5,198,755.86, 7,798,881.06 and 1,604,830.50

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Solution

The fourth proportional to 5,198,755.86, 7,798,881.06 and 1,604,830.50 is: 2,407,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198,755.86 : 7,798,881.06 = 1,604,830.50 : x
  2. Step 2: Convert to fraction form
    5,198,755.86/7,798,881.06 = 1,604,830.50/x
  3. Step 3: Cross multiply
    5,198,755.86x = 7,798,881.06 × 1,604,830.50
  4. Step 4: Simplify right side
    5,198,755.86x = 12,515,882,190,960.33
  5. Step 5: Solve for x
    x = 12,515,882,190,960.33/5,198,755.86
  6. Step 6: Final answer
    x = 2,407,476.43

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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.