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Finding the Fourth Proportional to 317,126.36, 474,756.42 and 211,683.80

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Solution

The fourth proportional to 317,126.36, 474,756.42 and 211,683.80 is: 316,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,126.36 : 474,756.42 = 211,683.80 : x
  2. Step 2: Convert to fraction form
    317,126.36/474,756.42 = 211,683.80/x
  3. Step 3: Cross multiply
    317,126.36x = 474,756.42 × 211,683.80
  4. Step 4: Simplify right side
    317,126.36x = 100,498,243,060.00
  5. Step 5: Solve for x
    x = 100,498,243,060.00/317,126.36
  6. Step 6: Final answer
    x = 316,902.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.