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Finding the Fourth Proportional to 397,612.86, 596,214.96 and 117,093.66

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Solution

The fourth proportional to 397,612.86, 596,214.96 and 117,093.66 is: 175,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,612.86 : 596,214.96 = 117,093.66 : x
  2. Step 2: Convert to fraction form
    397,612.86/596,214.96 = 117,093.66/x
  3. Step 3: Cross multiply
    397,612.86x = 596,214.96 × 117,093.66
  4. Step 4: Simplify right side
    397,612.86x = 69,812,991,813.15
  5. Step 5: Solve for x
    x = 69,812,991,813.15/397,612.86
  6. Step 6: Final answer
    x = 175,580.32

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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.