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Finding the Fourth Proportional to 340,777.16, 511,209.93 and 116,077.49

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Solution

The fourth proportional to 340,777.16, 511,209.93 and 116,077.49 is: 174,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,777.16 : 511,209.93 = 116,077.49 : x
  2. Step 2: Convert to fraction form
    340,777.16/511,209.93 = 116,077.49/x
  3. Step 3: Cross multiply
    340,777.16x = 511,209.93 × 116,077.49
  4. Step 4: Simplify right side
    340,777.16x = 59,339,965,333.75
  5. Step 5: Solve for x
    x = 59,339,965,333.75/340,777.16
  6. Step 6: Final answer
    x = 174,131.29

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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.