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Finding the Fourth Proportional to 441,770.64, 609,629.72 and 260,493.80

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Solution

The fourth proportional to 441,770.64, 609,629.72 and 260,493.80 is: 359,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,770.64 : 609,629.72 = 260,493.80 : x
  2. Step 2: Convert to fraction form
    441,770.64/609,629.72 = 260,493.80/x
  3. Step 3: Cross multiply
    441,770.64x = 609,629.72 × 260,493.80
  4. Step 4: Simplify right side
    441,770.64x = 158,804,762,355.74
  5. Step 5: Solve for x
    x = 158,804,762,355.74/441,770.64
  6. Step 6: Final answer
    x = 359,473.33

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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.