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Finding the Fourth Proportional to 457,894.40, 685,529.40 and 444,772.40

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Solution

The fourth proportional to 457,894.40, 685,529.40 and 444,772.40 is: 665,884.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,894.40 : 685,529.40 = 444,772.40 : x
  2. Step 2: Convert to fraction form
    457,894.40/685,529.40 = 444,772.40/x
  3. Step 3: Cross multiply
    457,894.40x = 685,529.40 × 444,772.40
  4. Step 4: Simplify right side
    457,894.40x = 304,904,556,508.56
  5. Step 5: Solve for x
    x = 304,904,556,508.56/457,894.40
  6. Step 6: Final answer
    x = 665,884.00

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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.