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Finding the Fourth Proportional to 353,531.80, 530,297.70 and 314,824.60

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Solution

The fourth proportional to 353,531.80, 530,297.70 and 314,824.60 is: 472,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,531.80 : 530,297.70 = 314,824.60 : x
  2. Step 2: Convert to fraction form
    353,531.80/530,297.70 = 314,824.60/x
  3. Step 3: Cross multiply
    353,531.80x = 530,297.70 × 314,824.60
  4. Step 4: Simplify right side
    353,531.80x = 166,950,761,283.42
  5. Step 5: Solve for x
    x = 166,950,761,283.42/353,531.80
  6. Step 6: Final answer
    x = 472,236.90

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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.