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Finding the Fourth Proportional to 314,235.72, 471,357.97 and 89,596.24

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Solution

The fourth proportional to 314,235.72, 471,357.97 and 89,596.24 is: 134,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,235.72 : 471,357.97 = 89,596.24 : x
  2. Step 2: Convert to fraction form
    314,235.72/471,357.97 = 89,596.24/x
  3. Step 3: Cross multiply
    314,235.72x = 471,357.97 × 89,596.24
  4. Step 4: Simplify right side
    314,235.72x = 42,231,900,940.50
  5. Step 5: Solve for x
    x = 42,231,900,940.50/314,235.72
  6. Step 6: Final answer
    x = 134,395.61

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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.