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Finding the Fourth Proportional to 395,465.96, 593,300.06 and 114,983.21

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Solution

The fourth proportional to 395,465.96, 593,300.06 and 114,983.21 is: 172,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,465.96 : 593,300.06 = 114,983.21 : x
  2. Step 2: Convert to fraction form
    395,465.96/593,300.06 = 114,983.21/x
  3. Step 3: Cross multiply
    395,465.96x = 593,300.06 × 114,983.21
  4. Step 4: Simplify right side
    395,465.96x = 68,219,545,391.99
  5. Step 5: Solve for x
    x = 68,219,545,391.99/395,465.96
  6. Step 6: Final answer
    x = 172,504.22

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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.