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Finding the Fourth Proportional to 338,924.94, 507,767.76 and 158,679.69

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Solution

The fourth proportional to 338,924.94, 507,767.76 and 158,679.69 is: 237,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,924.94 : 507,767.76 = 158,679.69 : x
  2. Step 2: Convert to fraction form
    338,924.94/507,767.76 = 158,679.69/x
  3. Step 3: Cross multiply
    338,924.94x = 507,767.76 × 158,679.69
  4. Step 4: Simplify right side
    338,924.94x = 80,572,430,748.79
  5. Step 5: Solve for x
    x = 80,572,430,748.79/338,924.94
  6. Step 6: Final answer
    x = 237,729.42

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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.