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Finding the Fourth Proportional to 466,012.80, 698,500.80 and 255,801.60

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Solution

The fourth proportional to 466,012.80, 698,500.80 and 255,801.60 is: 383,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,012.80 : 698,500.80 = 255,801.60 : x
  2. Step 2: Convert to fraction form
    466,012.80/698,500.80 = 255,801.60/x
  3. Step 3: Cross multiply
    466,012.80x = 698,500.80 × 255,801.60
  4. Step 4: Simplify right side
    466,012.80x = 178,677,622,241.28
  5. Step 5: Solve for x
    x = 178,677,622,241.28/466,012.80
  6. Step 6: Final answer
    x = 383,417.84

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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.