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Finding the Fourth Proportional to 264,881.70, 397,322.55 and 185,165.55

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Solution

The fourth proportional to 264,881.70, 397,322.55 and 185,165.55 is: 277,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,881.70 : 397,322.55 = 185,165.55 : x
  2. Step 2: Convert to fraction form
    264,881.70/397,322.55 = 185,165.55/x
  3. Step 3: Cross multiply
    264,881.70x = 397,322.55 × 185,165.55
  4. Step 4: Simplify right side
    264,881.70x = 73,570,448,498.15
  5. Step 5: Solve for x
    x = 73,570,448,498.15/264,881.70
  6. Step 6: Final answer
    x = 277,748.33

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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.