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Finding the Fourth Proportional to 284,983, 393,433.50 and 213,337.24

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Solution

The fourth proportional to 284,983, 393,433.50 and 213,337.24 is: 294,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,983 : 393,433.50 = 213,337.24 : x
  2. Step 2: Convert to fraction form
    284,983/393,433.50 = 213,337.24/x
  3. Step 3: Cross multiply
    284,983x = 393,433.50 × 213,337.24
  4. Step 4: Simplify right side
    284,983x = 83,934,017,013.54
  5. Step 5: Solve for x
    x = 83,934,017,013.54/284,983
  6. Step 6: Final answer
    x = 294,522.89

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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.