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Finding the Fourth Proportional to 466,840.80, 698,648.40 and 279,986.40

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Solution

The fourth proportional to 466,840.80, 698,648.40 and 279,986.40 is: 419,012.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,840.80 : 698,648.40 = 279,986.40 : x
  2. Step 2: Convert to fraction form
    466,840.80/698,648.40 = 279,986.40/x
  3. Step 3: Cross multiply
    466,840.80x = 698,648.40 × 279,986.40
  4. Step 4: Simplify right side
    466,840.80x = 195,612,050,381.76
  5. Step 5: Solve for x
    x = 195,612,050,381.76/466,840.80
  6. Step 6: Final answer
    x = 419,012.33

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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.