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Finding the Fourth Proportional to 410,228.77, 566,172.77 and 228,952.38

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Solution

The fourth proportional to 410,228.77, 566,172.77 and 228,952.38 is: 315,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,228.77 : 566,172.77 = 228,952.38 : x
  2. Step 2: Convert to fraction form
    410,228.77/566,172.77 = 228,952.38/x
  3. Step 3: Cross multiply
    410,228.77x = 566,172.77 × 228,952.38
  4. Step 4: Simplify right side
    410,228.77x = 129,626,600,976.36
  5. Step 5: Solve for x
    x = 129,626,600,976.36/410,228.77
  6. Step 6: Final answer
    x = 315,986.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.