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Finding the Fourth Proportional to 403,927.31, 605,825.31 and 190,694.81

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Solution

The fourth proportional to 403,927.31, 605,825.31 and 190,694.81 is: 286,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,927.31 : 605,825.31 = 190,694.81 : x
  2. Step 2: Convert to fraction form
    403,927.31/605,825.31 = 190,694.81/x
  3. Step 3: Cross multiply
    403,927.31x = 605,825.31 × 190,694.81
  4. Step 4: Simplify right side
    403,927.31x = 115,527,742,383.64
  5. Step 5: Solve for x
    x = 115,527,742,383.64/403,927.31
  6. Step 6: Final answer
    x = 286,011.22

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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.