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Finding the Fourth Proportional to 338,514.72, 507,898.44 and 180,655.44

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Solution

The fourth proportional to 338,514.72, 507,898.44 and 180,655.44 is: 271,050.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,514.72 : 507,898.44 = 180,655.44 : x
  2. Step 2: Convert to fraction form
    338,514.72/507,898.44 = 180,655.44/x
  3. Step 3: Cross multiply
    338,514.72x = 507,898.44 × 180,655.44
  4. Step 4: Simplify right side
    338,514.72x = 91,754,616,153.51
  5. Step 5: Solve for x
    x = 91,754,616,153.51/338,514.72
  6. Step 6: Final answer
    x = 271,050.59

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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.