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Finding the Fourth Proportional to 504,646, 756,969.12 and 205,289.44

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Solution

The fourth proportional to 504,646, 756,969.12 and 205,289.44 is: 307,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,646 : 756,969.12 = 205,289.44 : x
  2. Step 2: Convert to fraction form
    504,646/756,969.12 = 205,289.44/x
  3. Step 3: Cross multiply
    504,646x = 756,969.12 × 205,289.44
  4. Step 4: Simplify right side
    504,646x = 155,397,766,742.09
  5. Step 5: Solve for x
    x = 155,397,766,742.09/504,646
  6. Step 6: Final answer
    x = 307,934.21

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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.