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Finding the Fourth Proportional to 466,905.80, 698,745.90 and 280,051.40

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Solution

The fourth proportional to 466,905.80, 698,745.90 and 280,051.40 is: 419,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,905.80 : 698,745.90 = 280,051.40 : x
  2. Step 2: Convert to fraction form
    466,905.80/698,745.90 = 280,051.40/x
  3. Step 3: Cross multiply
    466,905.80x = 698,745.90 × 280,051.40
  4. Step 4: Simplify right side
    466,905.80x = 195,684,767,539.26
  5. Step 5: Solve for x
    x = 195,684,767,539.26/466,905.80
  6. Step 6: Final answer
    x = 419,109.74

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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.