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Finding the Fourth Proportional to 384,065.46, 529,925.31 and 222,826.98

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Solution

The fourth proportional to 384,065.46, 529,925.31 and 222,826.98 is: 307,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,065.46 : 529,925.31 = 222,826.98 : x
  2. Step 2: Convert to fraction form
    384,065.46/529,925.31 = 222,826.98/x
  3. Step 3: Cross multiply
    384,065.46x = 529,925.31 × 222,826.98
  4. Step 4: Simplify right side
    384,065.46x = 118,081,656,452.86
  5. Step 5: Solve for x
    x = 118,081,656,452.86/384,065.46
  6. Step 6: Final answer
    x = 307,451.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.