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Finding the Fourth Proportional to 340,411.22, 510,692.66 and 103,772.33

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Solution

The fourth proportional to 340,411.22, 510,692.66 and 103,772.33 is: 155,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,411.22 : 510,692.66 = 103,772.33 : x
  2. Step 2: Convert to fraction form
    340,411.22/510,692.66 = 103,772.33/x
  3. Step 3: Cross multiply
    340,411.22x = 510,692.66 × 103,772.33
  4. Step 4: Simplify right side
    340,411.22x = 52,995,766,723.24
  5. Step 5: Solve for x
    x = 52,995,766,723.24/340,411.22
  6. Step 6: Final answer
    x = 155,681.61

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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.