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Finding the Fourth Proportional to 314,297.41, 471,446.13 and 77,644.57

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Solution

The fourth proportional to 314,297.41, 471,446.13 and 77,644.57 is: 116,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,297.41 : 471,446.13 = 77,644.57 : x
  2. Step 2: Convert to fraction form
    314,297.41/471,446.13 = 77,644.57/x
  3. Step 3: Cross multiply
    314,297.41x = 471,446.13 × 77,644.57
  4. Step 4: Simplify right side
    314,297.41x = 36,605,232,042.01
  5. Step 5: Solve for x
    x = 36,605,232,042.01/314,297.41
  6. Step 6: Final answer
    x = 116,466.86

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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.