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Finding the Fourth Proportional to 457,896.40, 685,532.40 and 444,774.40

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Solution

The fourth proportional to 457,896.40, 685,532.40 and 444,774.40 is: 665,887.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,896.40 : 685,532.40 = 444,774.40 : x
  2. Step 2: Convert to fraction form
    457,896.40/685,532.40 = 444,774.40/x
  3. Step 3: Cross multiply
    457,896.40x = 685,532.40 × 444,774.40
  4. Step 4: Simplify right side
    457,896.40x = 304,907,261,890.56
  5. Step 5: Solve for x
    x = 304,907,261,890.56/457,896.40
  6. Step 6: Final answer
    x = 665,887.00

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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.