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Finding the Fourth Proportional to 411,344.20, 616,724.70 and 186,812.20

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Solution

The fourth proportional to 411,344.20, 616,724.70 and 186,812.20 is: 280,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,344.20 : 616,724.70 = 186,812.20 : x
  2. Step 2: Convert to fraction form
    411,344.20/616,724.70 = 186,812.20/x
  3. Step 3: Cross multiply
    411,344.20x = 616,724.70 × 186,812.20
  4. Step 4: Simplify right side
    411,344.20x = 115,211,698,001.34
  5. Step 5: Solve for x
    x = 115,211,698,001.34/411,344.20
  6. Step 6: Final answer
    x = 280,085.87

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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.