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Finding the Fourth Proportional to 413,214.42, 618,492.84 and 213,262.44

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Solution

The fourth proportional to 413,214.42, 618,492.84 and 213,262.44 is: 319,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,214.42 : 618,492.84 = 213,262.44 : x
  2. Step 2: Convert to fraction form
    413,214.42/618,492.84 = 213,262.44/x
  3. Step 3: Cross multiply
    413,214.42x = 618,492.84 × 213,262.44
  4. Step 4: Simplify right side
    413,214.42x = 131,901,292,180.93
  5. Step 5: Solve for x
    x = 131,901,292,180.93/413,214.42
  6. Step 6: Final answer
    x = 319,207.86

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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.