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Finding the Fourth Proportional to 314,173.87, 467,933.32 and 312,642.97

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Solution

The fourth proportional to 314,173.87, 467,933.32 and 312,642.97 is: 465,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,173.87 : 467,933.32 = 312,642.97 : x
  2. Step 2: Convert to fraction form
    314,173.87/467,933.32 = 312,642.97/x
  3. Step 3: Cross multiply
    314,173.87x = 467,933.32 × 312,642.97
  4. Step 4: Simplify right side
    314,173.87x = 146,296,061,363.55
  5. Step 5: Solve for x
    x = 146,296,061,363.55/314,173.87
  6. Step 6: Final answer
    x = 465,653.18

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Why These Related Problems?

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