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Finding the Fourth Proportional to 314,340.44, 471,506.04 and 77,683.12

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Solution

The fourth proportional to 314,340.44, 471,506.04 and 77,683.12 is: 116,523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,340.44 : 471,506.04 = 77,683.12 : x
  2. Step 2: Convert to fraction form
    314,340.44/471,506.04 = 77,683.12/x
  3. Step 3: Cross multiply
    314,340.44x = 471,506.04 × 77,683.12
  4. Step 4: Simplify right side
    314,340.44x = 36,628,060,286.04
  5. Step 5: Solve for x
    x = 36,628,060,286.04/314,340.44
  6. Step 6: Final answer
    x = 116,523.54

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Why These Related Problems?

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