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Finding the Fourth Proportional to 338,423.58, 507,590.01 and 161,043.30

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Solution

The fourth proportional to 338,423.58, 507,590.01 and 161,043.30 is: 241,543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,423.58 : 507,590.01 = 161,043.30 : x
  2. Step 2: Convert to fraction form
    338,423.58/507,590.01 = 161,043.30/x
  3. Step 3: Cross multiply
    338,423.58x = 507,590.01 × 161,043.30
  4. Step 4: Simplify right side
    338,423.58x = 81,743,970,257.43
  5. Step 5: Solve for x
    x = 81,743,970,257.43/338,423.58
  6. Step 6: Final answer
    x = 241,543.36

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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.