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Finding the Fourth Proportional to 411,508.70, 616,930.86 and 378,293.60

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Solution

The fourth proportional to 411,508.70, 616,930.86 and 378,293.60 is: 567,135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,508.70 : 616,930.86 = 378,293.60 : x
  2. Step 2: Convert to fraction form
    411,508.70/616,930.86 = 378,293.60/x
  3. Step 3: Cross multiply
    411,508.70x = 616,930.86 × 378,293.60
  4. Step 4: Simplify right side
    411,508.70x = 233,380,995,980.50
  5. Step 5: Solve for x
    x = 233,380,995,980.50/411,508.70
  6. Step 6: Final answer
    x = 567,135.02

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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.