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Finding the Fourth Proportional to 340,470.54, 510,623.60 and 150,826.05

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Solution

The fourth proportional to 340,470.54, 510,623.60 and 150,826.05 is: 226,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,470.54 : 510,623.60 = 150,826.05 : x
  2. Step 2: Convert to fraction form
    340,470.54/510,623.60 = 150,826.05/x
  3. Step 3: Cross multiply
    340,470.54x = 510,623.60 × 150,826.05
  4. Step 4: Simplify right side
    340,470.54x = 77,015,339,870.65
  5. Step 5: Solve for x
    x = 77,015,339,870.65/340,470.54
  6. Step 6: Final answer
    x = 226,202.65

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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.