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Finding the Fourth Proportional to 351,364.80, 527,098.32 and 114,649.20

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Solution

The fourth proportional to 351,364.80, 527,098.32 and 114,649.20 is: 171,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,364.80 : 527,098.32 = 114,649.20 : x
  2. Step 2: Convert to fraction form
    351,364.80/527,098.32 = 114,649.20/x
  3. Step 3: Cross multiply
    351,364.80x = 527,098.32 × 114,649.20
  4. Step 4: Simplify right side
    351,364.80x = 60,431,400,709.34
  5. Step 5: Solve for x
    x = 60,431,400,709.34/351,364.80
  6. Step 6: Final answer
    x = 171,990.48

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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.