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Finding the Fourth Proportional to 338,350.76, 507,584.70 and 113,733.16

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Solution

The fourth proportional to 338,350.76, 507,584.70 and 113,733.16 is: 170,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,350.76 : 507,584.70 = 113,733.16 : x
  2. Step 2: Convert to fraction form
    338,350.76/507,584.70 = 113,733.16/x
  3. Step 3: Cross multiply
    338,350.76x = 507,584.70 × 113,733.16
  4. Step 4: Simplify right side
    338,350.76x = 57,729,211,898.65
  5. Step 5: Solve for x
    x = 57,729,211,898.65/338,350.76
  6. Step 6: Final answer
    x = 170,619.42

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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.