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Finding the Fourth Proportional to 295,716.14, 407,663.38 and 210,685.58

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Solution

The fourth proportional to 295,716.14, 407,663.38 and 210,685.58 is: 290,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,716.14 : 407,663.38 = 210,685.58 : x
  2. Step 2: Convert to fraction form
    295,716.14/407,663.38 = 210,685.58/x
  3. Step 3: Cross multiply
    295,716.14x = 407,663.38 × 210,685.58
  4. Step 4: Simplify right side
    295,716.14x = 85,888,795,660.06
  5. Step 5: Solve for x
    x = 85,888,795,660.06/295,716.14
  6. Step 6: Final answer
    x = 290,443.38

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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.