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Finding the Fourth Proportional to 340,924.10, 511,385.87 and 91,606.10

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Solution

The fourth proportional to 340,924.10, 511,385.87 and 91,606.10 is: 137,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,924.10 : 511,385.87 = 91,606.10 : x
  2. Step 2: Convert to fraction form
    340,924.10/511,385.87 = 91,606.10/x
  3. Step 3: Cross multiply
    340,924.10x = 511,385.87 × 91,606.10
  4. Step 4: Simplify right side
    340,924.10x = 46,846,062,817.89
  5. Step 5: Solve for x
    x = 46,846,062,817.89/340,924.10
  6. Step 6: Final answer
    x = 137,409.07

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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.