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Finding the Fourth Proportional to 299,041.27, 412,573.45 and 191,670.50

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Solution

The fourth proportional to 299,041.27, 412,573.45 and 191,670.50 is: 264,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,041.27 : 412,573.45 = 191,670.50 : x
  2. Step 2: Convert to fraction form
    299,041.27/412,573.45 = 191,670.50/x
  3. Step 3: Cross multiply
    299,041.27x = 412,573.45 × 191,670.50
  4. Step 4: Simplify right side
    299,041.27x = 79,078,160,359.86
  5. Step 5: Solve for x
    x = 79,078,160,359.86/299,041.27
  6. Step 6: Final answer
    x = 264,438.96

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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.