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Finding the Fourth Proportional to 411,504.70, 616,924.86 and 378,289.60

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Solution

The fourth proportional to 411,504.70, 616,924.86 and 378,289.60 is: 567,129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,504.70 : 616,924.86 = 378,289.60 : x
  2. Step 2: Convert to fraction form
    411,504.70/616,924.86 = 378,289.60/x
  3. Step 3: Cross multiply
    411,504.70x = 616,924.86 × 378,289.60
  4. Step 4: Simplify right side
    411,504.70x = 233,376,258,519.46
  5. Step 5: Solve for x
    x = 233,376,258,519.46/411,504.70
  6. Step 6: Final answer
    x = 567,129.02

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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.