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Finding the Fourth Proportional to 413,344, 620,055.18 and 160,643.97

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Solution

The fourth proportional to 413,344, 620,055.18 and 160,643.97 is: 240,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,344 : 620,055.18 = 160,643.97 : x
  2. Step 2: Convert to fraction form
    413,344/620,055.18 = 160,643.97/x
  3. Step 3: Cross multiply
    413,344x = 620,055.18 × 160,643.97
  4. Step 4: Simplify right side
    413,344x = 99,608,125,734.26
  5. Step 5: Solve for x
    x = 99,608,125,734.26/413,344
  6. Step 6: Final answer
    x = 240,981.18

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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.