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Finding the Fourth Proportional to 466,433.80, 699,132.30 and 256,222.60

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Solution

The fourth proportional to 466,433.80, 699,132.30 and 256,222.60 is: 384,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,433.80 : 699,132.30 = 256,222.60 : x
  2. Step 2: Convert to fraction form
    466,433.80/699,132.30 = 256,222.60/x
  3. Step 3: Cross multiply
    466,433.80x = 699,132.30 × 256,222.60
  4. Step 4: Simplify right side
    466,433.80x = 179,133,495,649.98
  5. Step 5: Solve for x
    x = 179,133,495,649.98/466,433.80
  6. Step 6: Final answer
    x = 384,049.13

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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.