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Finding the Fourth Proportional to 314,825.80, 472,238.70 and 302,578.60

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Solution

The fourth proportional to 314,825.80, 472,238.70 and 302,578.60 is: 453,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,825.80 : 472,238.70 = 302,578.60 : x
  2. Step 2: Convert to fraction form
    314,825.80/472,238.70 = 302,578.60/x
  3. Step 3: Cross multiply
    314,825.80x = 472,238.70 × 302,578.60
  4. Step 4: Simplify right side
    314,825.80x = 142,889,324,711.82
  5. Step 5: Solve for x
    x = 142,889,324,711.82/314,825.80
  6. Step 6: Final answer
    x = 453,867.90

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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.