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Finding the Fourth Proportional to 465,856.40, 698,784.60 and 414,246.80

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Solution

The fourth proportional to 465,856.40, 698,784.60 and 414,246.80 is: 621,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,856.40 : 698,784.60 = 414,246.80 : x
  2. Step 2: Convert to fraction form
    465,856.40/698,784.60 = 414,246.80/x
  3. Step 3: Cross multiply
    465,856.40x = 698,784.60 × 414,246.80
  4. Step 4: Simplify right side
    465,856.40x = 289,469,284,439.28
  5. Step 5: Solve for x
    x = 289,469,284,439.28/465,856.40
  6. Step 6: Final answer
    x = 621,370.20

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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.