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Finding the Fourth Proportional to 413,340.48, 620,049.96 and 160,640.51

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Solution

The fourth proportional to 413,340.48, 620,049.96 and 160,640.51 is: 240,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,340.48 : 620,049.96 = 160,640.51 : x
  2. Step 2: Convert to fraction form
    413,340.48/620,049.96 = 160,640.51/x
  3. Step 3: Cross multiply
    413,340.48x = 620,049.96 × 160,640.51
  4. Step 4: Simplify right side
    413,340.48x = 99,605,138,699.63
  5. Step 5: Solve for x
    x = 99,605,138,699.63/413,340.48
  6. Step 6: Final answer
    x = 240,976.01

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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.