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Finding the Fourth Proportional to 873,533.73, 1,310,357.10 and 274,519.91

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Solution

The fourth proportional to 873,533.73, 1,310,357.10 and 274,519.91 is: 411,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,533.73 : 1,310,357.10 = 274,519.91 : x
  2. Step 2: Convert to fraction form
    873,533.73/1,310,357.10 = 274,519.91/x
  3. Step 3: Cross multiply
    873,533.73x = 1,310,357.10 × 274,519.91
  4. Step 4: Simplify right side
    873,533.73x = 359,719,106,608.08
  5. Step 5: Solve for x
    x = 359,719,106,608.08/873,533.73
  6. Step 6: Final answer
    x = 411,797.61

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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.