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Finding the Fourth Proportional to 340,628.16, 511,004.24 and 115,977.12

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Solution

The fourth proportional to 340,628.16, 511,004.24 and 115,977.12 is: 173,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,628.16 : 511,004.24 = 115,977.12 : x
  2. Step 2: Convert to fraction form
    340,628.16/511,004.24 = 115,977.12/x
  3. Step 3: Cross multiply
    340,628.16x = 511,004.24 × 115,977.12
  4. Step 4: Simplify right side
    340,628.16x = 59,264,800,062.99
  5. Step 5: Solve for x
    x = 59,264,800,062.99/340,628.16
  6. Step 6: Final answer
    x = 173,986.79

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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.