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Finding the Fourth Proportional to 384,096.15, 575,652.15 and 341,777.70

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Solution

The fourth proportional to 384,096.15, 575,652.15 and 341,777.70 is: 512,228.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,096.15 : 575,652.15 = 341,777.70 : x
  2. Step 2: Convert to fraction form
    384,096.15/575,652.15 = 341,777.70/x
  3. Step 3: Cross multiply
    384,096.15x = 575,652.15 × 341,777.70
  4. Step 4: Simplify right side
    384,096.15x = 196,745,067,827.06
  5. Step 5: Solve for x
    x = 196,745,067,827.06/384,096.15
  6. Step 6: Final answer
    x = 512,228.69

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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.