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Finding the Fourth Proportional to 650,084.13, 897,142.53 and 359,690.97

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Solution

The fourth proportional to 650,084.13, 897,142.53 and 359,690.97 is: 496,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,084.13 : 897,142.53 = 359,690.97 : x
  2. Step 2: Convert to fraction form
    650,084.13/897,142.53 = 359,690.97/x
  3. Step 3: Cross multiply
    650,084.13x = 897,142.53 × 359,690.97
  4. Step 4: Simplify right side
    650,084.13x = 322,694,066,843.95
  5. Step 5: Solve for x
    x = 322,694,066,843.95/650,084.13
  6. Step 6: Final answer
    x = 496,388.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.