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Finding the Fourth Proportional to 397,874.69, 596,831.85 and 113,607.41

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Solution

The fourth proportional to 397,874.69, 596,831.85 and 113,607.41 is: 170,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,874.69 : 596,831.85 = 113,607.41 : x
  2. Step 2: Convert to fraction form
    397,874.69/596,831.85 = 113,607.41/x
  3. Step 3: Cross multiply
    397,874.69x = 596,831.85 × 113,607.41
  4. Step 4: Simplify right side
    397,874.69x = 67,804,517,699.85
  5. Step 5: Solve for x
    x = 67,804,517,699.85/397,874.69
  6. Step 6: Final answer
    x = 170,416.77

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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.