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Finding the Fourth Proportional to 589,710.54, 884,313.09 and 274,134.54

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Solution

The fourth proportional to 589,710.54, 884,313.09 and 274,134.54 is: 411,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,710.54 : 884,313.09 = 274,134.54 : x
  2. Step 2: Convert to fraction form
    589,710.54/884,313.09 = 274,134.54/x
  3. Step 3: Cross multiply
    589,710.54x = 884,313.09 × 274,134.54
  4. Step 4: Simplify right side
    589,710.54x = 242,420,762,143.13
  5. Step 5: Solve for x
    x = 242,420,762,143.13/589,710.54
  6. Step 6: Final answer
    x = 411,084.33

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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.