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Finding the Fourth Proportional to 314,977.44, 471,931.56 and 190,056

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Solution

The fourth proportional to 314,977.44, 471,931.56 and 190,056 is: 284,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,977.44 : 471,931.56 = 190,056 : x
  2. Step 2: Convert to fraction form
    314,977.44/471,931.56 = 190,056/x
  3. Step 3: Cross multiply
    314,977.44x = 471,931.56 × 190,056
  4. Step 4: Simplify right side
    314,977.44x = 89,693,424,567.36
  5. Step 5: Solve for x
    x = 89,693,424,567.36/314,977.44
  6. Step 6: Final answer
    x = 284,761.42

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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.