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Finding the Fourth Proportional to 469,146.35, 647,414.94 and 265,190.12

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Solution

The fourth proportional to 469,146.35, 647,414.94 and 265,190.12 is: 365,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,146.35 : 647,414.94 = 265,190.12 : x
  2. Step 2: Convert to fraction form
    469,146.35/647,414.94 = 265,190.12/x
  3. Step 3: Cross multiply
    469,146.35x = 647,414.94 × 265,190.12
  4. Step 4: Simplify right side
    469,146.35x = 171,688,045,813.59
  5. Step 5: Solve for x
    x = 171,688,045,813.59/469,146.35
  6. Step 6: Final answer
    x = 365,958.40

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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.