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Finding the Fourth Proportional to 314,949.44, 472,728.67 and 297,880.67

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Solution

The fourth proportional to 314,949.44, 472,728.67 and 297,880.67 is: 447,109.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,949.44 : 472,728.67 = 297,880.67 : x
  2. Step 2: Convert to fraction form
    314,949.44/472,728.67 = 297,880.67/x
  3. Step 3: Cross multiply
    314,949.44x = 472,728.67 × 297,880.67
  4. Step 4: Simplify right side
    314,949.44x = 140,816,729,839.46
  5. Step 5: Solve for x
    x = 140,816,729,839.46/314,949.44
  6. Step 6: Final answer
    x = 447,109.00

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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.