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Finding the Fourth Proportional to 698,111.78, 963,326.22 and 392,118.86

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Solution

The fourth proportional to 698,111.78, 963,326.22 and 392,118.86 is: 541,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,111.78 : 963,326.22 = 392,118.86 : x
  2. Step 2: Convert to fraction form
    698,111.78/963,326.22 = 392,118.86/x
  3. Step 3: Cross multiply
    698,111.78x = 963,326.22 × 392,118.86
  4. Step 4: Simplify right side
    698,111.78x = 377,738,379,194.51
  5. Step 5: Solve for x
    x = 377,738,379,194.51/698,111.78
  6. Step 6: Final answer
    x = 541,085.81

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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.