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Finding the Fourth Proportional to 314,087.45, 467,578.97 and 312,219.10

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Solution

The fourth proportional to 314,087.45, 467,578.97 and 312,219.10 is: 464,797.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,087.45 : 467,578.97 = 312,219.10 : x
  2. Step 2: Convert to fraction form
    314,087.45/467,578.97 = 312,219.10/x
  3. Step 3: Cross multiply
    314,087.45x = 467,578.97 × 312,219.10
  4. Step 4: Simplify right side
    314,087.45x = 145,987,083,633.11
  5. Step 5: Solve for x
    x = 145,987,083,633.11/314,087.45
  6. Step 6: Final answer
    x = 464,797.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.