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Finding the Fourth Proportional to 397,852.86, 596,874.06 and 117,370.38

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Solution

The fourth proportional to 397,852.86, 596,874.06 and 117,370.38 is: 176,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,852.86 : 596,874.06 = 117,370.38 : x
  2. Step 2: Convert to fraction form
    397,852.86/596,874.06 = 117,370.38/x
  3. Step 3: Cross multiply
    397,852.86x = 596,874.06 × 117,370.38
  4. Step 4: Simplify right side
    397,852.86x = 70,055,335,234.34
  5. Step 5: Solve for x
    x = 70,055,335,234.34/397,852.86
  6. Step 6: Final answer
    x = 176,083.53

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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.