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Finding the Fourth Proportional to 411,109.20, 616,663.80 and 388,299.60

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Solution

The fourth proportional to 411,109.20, 616,663.80 and 388,299.60 is: 582,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,109.20 : 616,663.80 = 388,299.60 : x
  2. Step 2: Convert to fraction form
    411,109.20/616,663.80 = 388,299.60/x
  3. Step 3: Cross multiply
    411,109.20x = 616,663.80 × 388,299.60
  4. Step 4: Simplify right side
    411,109.20x = 239,450,306,874.48
  5. Step 5: Solve for x
    x = 239,450,306,874.48/411,109.20
  6. Step 6: Final answer
    x = 582,449.40

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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.