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Finding the Fourth Proportional to 338,573.92, 507,423.48 and 161,135.32

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Solution

The fourth proportional to 338,573.92, 507,423.48 and 161,135.32 is: 241,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,573.92 : 507,423.48 = 161,135.32 : x
  2. Step 2: Convert to fraction form
    338,573.92/507,423.48 = 161,135.32/x
  3. Step 3: Cross multiply
    338,573.92x = 507,423.48 × 161,135.32
  4. Step 4: Simplify right side
    338,573.92x = 81,763,844,825.31
  5. Step 5: Solve for x
    x = 81,763,844,825.31/338,573.92
  6. Step 6: Final answer
    x = 241,494.81

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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.