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Finding the Fourth Proportional to 538,566.96, 743,188.86 and 296,851.44

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Solution

The fourth proportional to 538,566.96, 743,188.86 and 296,851.44 is: 409,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,566.96 : 743,188.86 = 296,851.44 : x
  2. Step 2: Convert to fraction form
    538,566.96/743,188.86 = 296,851.44/x
  3. Step 3: Cross multiply
    538,566.96x = 743,188.86 × 296,851.44
  4. Step 4: Simplify right side
    538,566.96x = 220,616,683,282.96
  5. Step 5: Solve for x
    x = 220,616,683,282.96/538,566.96
  6. Step 6: Final answer
    x = 409,636.50

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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.