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Finding the Fourth Proportional to 507,006.80, 760,470.60 and 133,020.08

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Solution

The fourth proportional to 507,006.80, 760,470.60 and 133,020.08 is: 199,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,006.80 : 760,470.60 = 133,020.08 : x
  2. Step 2: Convert to fraction form
    507,006.80/760,470.60 = 133,020.08/x
  3. Step 3: Cross multiply
    507,006.80x = 760,470.60 × 133,020.08
  4. Step 4: Simplify right side
    507,006.80x = 101,157,860,049.65
  5. Step 5: Solve for x
    x = 101,157,860,049.65/507,006.80
  6. Step 6: Final answer
    x = 199,519.73

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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.