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Finding the Fourth Proportional to 353,727.44, 488,143.94 and 192,582.50

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Solution

The fourth proportional to 353,727.44, 488,143.94 and 192,582.50 is: 265,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,727.44 : 488,143.94 = 192,582.50 : x
  2. Step 2: Convert to fraction form
    353,727.44/488,143.94 = 192,582.50/x
  3. Step 3: Cross multiply
    353,727.44x = 488,143.94 × 192,582.50
  4. Step 4: Simplify right side
    353,727.44x = 94,007,980,325.05
  5. Step 5: Solve for x
    x = 94,007,980,325.05/353,727.44
  6. Step 6: Final answer
    x = 265,763.89

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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.