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Finding the Fourth Proportional to 314,172.26, 467,704.74 and 312,303.90

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Solution

The fourth proportional to 314,172.26, 467,704.74 and 312,303.90 is: 464,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,172.26 : 467,704.74 = 312,303.90 : x
  2. Step 2: Convert to fraction form
    314,172.26/467,704.74 = 312,303.90/x
  3. Step 3: Cross multiply
    314,172.26x = 467,704.74 × 312,303.90
  4. Step 4: Simplify right side
    314,172.26x = 146,066,014,350.49
  5. Step 5: Solve for x
    x = 146,066,014,350.49/314,172.26
  6. Step 6: Final answer
    x = 464,923.34

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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.