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Finding the Fourth Proportional to 323,199.34, 484,636.74 and 188,307.07

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Solution

The fourth proportional to 323,199.34, 484,636.74 and 188,307.07 is: 282,366.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,199.34 : 484,636.74 = 188,307.07 : x
  2. Step 2: Convert to fraction form
    323,199.34/484,636.74 = 188,307.07/x
  3. Step 3: Cross multiply
    323,199.34x = 484,636.74 × 188,307.07
  4. Step 4: Simplify right side
    323,199.34x = 91,260,524,523.75
  5. Step 5: Solve for x
    x = 91,260,524,523.75/323,199.34
  6. Step 6: Final answer
    x = 282,366.06

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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.