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Finding the Fourth Proportional to 640,923.41, 960,544.16 and 471,651.41

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Solution

The fourth proportional to 640,923.41, 960,544.16 and 471,651.41 is: 706,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,923.41 : 960,544.16 = 471,651.41 : x
  2. Step 2: Convert to fraction form
    640,923.41/960,544.16 = 471,651.41/x
  3. Step 3: Cross multiply
    640,923.41x = 960,544.16 × 471,651.41
  4. Step 4: Simplify right side
    640,923.41x = 453,042,005,073.01
  5. Step 5: Solve for x
    x = 453,042,005,073.01/640,923.41
  6. Step 6: Final answer
    x = 706,858.26

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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.