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Finding the Fourth Proportional to 264,838, 397,260.64 and 146,740

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Solution

The fourth proportional to 264,838, 397,260.64 and 146,740 is: 220,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,838 : 397,260.64 = 146,740 : x
  2. Step 2: Convert to fraction form
    264,838/397,260.64 = 146,740/x
  3. Step 3: Cross multiply
    264,838x = 397,260.64 × 146,740
  4. Step 4: Simplify right side
    264,838x = 58,294,026,313.60
  5. Step 5: Solve for x
    x = 58,294,026,313.60/264,838
  6. Step 6: Final answer
    x = 220,112.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.