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Finding the Fourth Proportional to 384,794.06, 576,443.76 and 185,254.60

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Solution

The fourth proportional to 384,794.06, 576,443.76 and 185,254.60 is: 277,522.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,794.06 : 576,443.76 = 185,254.60 : x
  2. Step 2: Convert to fraction form
    384,794.06/576,443.76 = 185,254.60/x
  3. Step 3: Cross multiply
    384,794.06x = 576,443.76 × 185,254.60
  4. Step 4: Simplify right side
    384,794.06x = 106,788,858,181.30
  5. Step 5: Solve for x
    x = 106,788,858,181.30/384,794.06
  6. Step 6: Final answer
    x = 277,522.11

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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.