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Finding the Fourth Proportional to 314,174.26, 467,707.72 and 312,305.90

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Solution

The fourth proportional to 314,174.26, 467,707.72 and 312,305.90 is: 464,926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,174.26 : 467,707.72 = 312,305.90 : x
  2. Step 2: Convert to fraction form
    314,174.26/467,707.72 = 312,305.90/x
  3. Step 3: Cross multiply
    314,174.26x = 467,707.72 × 312,305.90
  4. Step 4: Simplify right side
    314,174.26x = 146,067,880,431.55
  5. Step 5: Solve for x
    x = 146,067,880,431.55/314,174.26
  6. Step 6: Final answer
    x = 464,926.31

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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.