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Finding the Fourth Proportional to 283,507.28, 390,701.75 and 202,794.68

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Solution

The fourth proportional to 283,507.28, 390,701.75 and 202,794.68 is: 279,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,507.28 : 390,701.75 = 202,794.68 : x
  2. Step 2: Convert to fraction form
    283,507.28/390,701.75 = 202,794.68/x
  3. Step 3: Cross multiply
    283,507.28x = 390,701.75 × 202,794.68
  4. Step 4: Simplify right side
    283,507.28x = 79,232,233,399.21
  5. Step 5: Solve for x
    x = 79,232,233,399.21/283,507.28
  6. Step 6: Final answer
    x = 279,471.60

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