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Finding the Fourth Proportional to 314,977.49, 472,687.64 and 284,862.50

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Solution

The fourth proportional to 314,977.49, 472,687.64 and 284,862.50 is: 427,493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,977.49 : 472,687.64 = 284,862.50 : x
  2. Step 2: Convert to fraction form
    314,977.49/472,687.64 = 284,862.50/x
  3. Step 3: Cross multiply
    314,977.49x = 472,687.64 × 284,862.50
  4. Step 4: Simplify right side
    314,977.49x = 134,650,982,849.50
  5. Step 5: Solve for x
    x = 134,650,982,849.50/314,977.49
  6. Step 6: Final answer
    x = 427,493.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.