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Finding the Fourth Proportional to 465,464.80, 698,296.40 and 265,880.80

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Solution

The fourth proportional to 465,464.80, 698,296.40 and 265,880.80 is: 398,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,464.80 : 698,296.40 = 265,880.80 : x
  2. Step 2: Convert to fraction form
    465,464.80/698,296.40 = 265,880.80/x
  3. Step 3: Cross multiply
    465,464.80x = 698,296.40 × 265,880.80
  4. Step 4: Simplify right side
    465,464.80x = 185,663,605,469.12
  5. Step 5: Solve for x
    x = 185,663,605,469.12/465,464.80
  6. Step 6: Final answer
    x = 398,877.86

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1.5x scale

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.