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Finding the Fourth Proportional to 299,076.71, 412,492.50 and 191,656.73

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Solution

The fourth proportional to 299,076.71, 412,492.50 and 191,656.73 is: 264,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,076.71 : 412,492.50 = 191,656.73 : x
  2. Step 2: Convert to fraction form
    299,076.71/412,492.50 = 191,656.73/x
  3. Step 3: Cross multiply
    299,076.71x = 412,492.50 × 191,656.73
  4. Step 4: Simplify right side
    299,076.71x = 79,056,964,730.76
  5. Step 5: Solve for x
    x = 79,056,964,730.76/299,076.71
  6. Step 6: Final answer
    x = 264,336.75

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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.