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Finding the Fourth Proportional to 411,348.20, 616,730.70 and 186,816.20

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Solution

The fourth proportional to 411,348.20, 616,730.70 and 186,816.20 is: 280,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,348.20 : 616,730.70 = 186,816.20 : x
  2. Step 2: Convert to fraction form
    411,348.20/616,730.70 = 186,816.20/x
  3. Step 3: Cross multiply
    411,348.20x = 616,730.70 × 186,816.20
  4. Step 4: Simplify right side
    411,348.20x = 115,215,285,797.34
  5. Step 5: Solve for x
    x = 115,215,285,797.34/411,348.20
  6. Step 6: Final answer
    x = 280,091.87

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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.