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Finding the Fourth Proportional to 494,259.84, 741,620.16 and 294,572.16

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Solution

The fourth proportional to 494,259.84, 741,620.16 and 294,572.16 is: 441,995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,259.84 : 741,620.16 = 294,572.16 : x
  2. Step 2: Convert to fraction form
    494,259.84/741,620.16 = 294,572.16/x
  3. Step 3: Cross multiply
    494,259.84x = 741,620.16 × 294,572.16
  4. Step 4: Simplify right side
    494,259.84x = 218,460,652,430.75
  5. Step 5: Solve for x
    x = 218,460,652,430.75/494,259.84
  6. Step 6: Final answer
    x = 441,995.56

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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.