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Finding the Fourth Proportional to 295,294.21, 407,364.29 and 193,274.76

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Solution

The fourth proportional to 295,294.21, 407,364.29 and 193,274.76 is: 266,626.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,294.21 : 407,364.29 = 193,274.76 : x
  2. Step 2: Convert to fraction form
    295,294.21/407,364.29 = 193,274.76/x
  3. Step 3: Cross multiply
    295,294.21x = 407,364.29 × 193,274.76
  4. Step 4: Simplify right side
    295,294.21x = 78,733,234,376.92
  5. Step 5: Solve for x
    x = 78,733,234,376.92/295,294.21
  6. Step 6: Final answer
    x = 266,626.41

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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.