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Finding the Fourth Proportional to 338,467.42, 507,535.26 and 138,733.48

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Solution

The fourth proportional to 338,467.42, 507,535.26 and 138,733.48 is: 208,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,467.42 : 507,535.26 = 138,733.48 : x
  2. Step 2: Convert to fraction form
    338,467.42/507,535.26 = 138,733.48/x
  3. Step 3: Cross multiply
    338,467.42x = 507,535.26 × 138,733.48
  4. Step 4: Simplify right side
    338,467.42x = 70,412,132,842.50
  5. Step 5: Solve for x
    x = 70,412,132,842.50/338,467.42
  6. Step 6: Final answer
    x = 208,032.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.