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Finding the Fourth Proportional to 665,132.40, 997,698.60 and 265,834.80

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Solution

The fourth proportional to 665,132.40, 997,698.60 and 265,834.80 is: 398,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,132.40 : 997,698.60 = 265,834.80 : x
  2. Step 2: Convert to fraction form
    665,132.40/997,698.60 = 265,834.80/x
  3. Step 3: Cross multiply
    665,132.40x = 997,698.60 × 265,834.80
  4. Step 4: Simplify right side
    665,132.40x = 265,223,007,791.28
  5. Step 5: Solve for x
    x = 265,223,007,791.28/665,132.40
  6. Step 6: Final answer
    x = 398,752.20

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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.