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Finding the Fourth Proportional to 409,531.80, 614,297.70 and 366,229.20

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Solution

The fourth proportional to 409,531.80, 614,297.70 and 366,229.20 is: 549,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,531.80 : 614,297.70 = 366,229.20 : x
  2. Step 2: Convert to fraction form
    409,531.80/614,297.70 = 366,229.20/x
  3. Step 3: Cross multiply
    409,531.80x = 614,297.70 × 366,229.20
  4. Step 4: Simplify right side
    409,531.80x = 224,973,755,232.84
  5. Step 5: Solve for x
    x = 224,973,755,232.84/409,531.80
  6. Step 6: Final answer
    x = 549,343.80

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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.