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Finding the Fourth Proportional to 384,796.08, 576,446.76 and 185,256.63

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Solution

The fourth proportional to 384,796.08, 576,446.76 and 185,256.63 is: 277,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,796.08 : 576,446.76 = 185,256.63 : x
  2. Step 2: Convert to fraction form
    384,796.08/576,446.76 = 185,256.63/x
  3. Step 3: Cross multiply
    384,796.08x = 576,446.76 × 185,256.63
  4. Step 4: Simplify right side
    384,796.08x = 106,790,584,132.02
  5. Step 5: Solve for x
    x = 106,790,584,132.02/384,796.08
  6. Step 6: Final answer
    x = 277,525.14

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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.