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Finding the Fourth Proportional to 407,265.76, 610,653.12 and 182,585.56

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Solution

The fourth proportional to 407,265.76, 610,653.12 and 182,585.56 is: 273,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,265.76 : 610,653.12 = 182,585.56 : x
  2. Step 2: Convert to fraction form
    407,265.76/610,653.12 = 182,585.56/x
  3. Step 3: Cross multiply
    407,265.76x = 610,653.12 × 182,585.56
  4. Step 4: Simplify right side
    407,265.76x = 111,496,441,880.95
  5. Step 5: Solve for x
    x = 111,496,441,880.95/407,265.76
  6. Step 6: Final answer
    x = 273,768.27

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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.