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Finding the Fourth Proportional to 410,185.69, 614,392.76 and 400,147.36

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Solution

The fourth proportional to 410,185.69, 614,392.76 and 400,147.36 is: 599,356.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,185.69 : 614,392.76 = 400,147.36 : x
  2. Step 2: Convert to fraction form
    410,185.69/614,392.76 = 400,147.36/x
  3. Step 3: Cross multiply
    410,185.69x = 614,392.76 × 400,147.36
  4. Step 4: Simplify right side
    410,185.69x = 245,847,640,381.50
  5. Step 5: Solve for x
    x = 245,847,640,381.50/410,185.69
  6. Step 6: Final answer
    x = 599,356.94

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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.