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Finding the Fourth Proportional to 512,111.21, 706,607.94 and 294,277.80

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Solution

The fourth proportional to 512,111.21, 706,607.94 and 294,277.80 is: 406,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,111.21 : 706,607.94 = 294,277.80 : x
  2. Step 2: Convert to fraction form
    512,111.21/706,607.94 = 294,277.80/x
  3. Step 3: Cross multiply
    512,111.21x = 706,607.94 × 294,277.80
  4. Step 4: Simplify right side
    512,111.21x = 207,939,030,045.73
  5. Step 5: Solve for x
    x = 207,939,030,045.73/512,111.21
  6. Step 6: Final answer
    x = 406,042.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.