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Finding the Fourth Proportional to 640,559.12, 960,878.31 and 214,133.32

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Solution

The fourth proportional to 640,559.12, 960,878.31 and 214,133.32 is: 321,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,559.12 : 960,878.31 = 214,133.32 : x
  2. Step 2: Convert to fraction form
    640,559.12/960,878.31 = 214,133.32/x
  3. Step 3: Cross multiply
    640,559.12x = 960,878.31 × 214,133.32
  4. Step 4: Simplify right side
    640,559.12x = 205,756,062,636.29
  5. Step 5: Solve for x
    x = 205,756,062,636.29/640,559.12
  6. Step 6: Final answer
    x = 321,213.23

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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.