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Finding the Fourth Proportional to 325,764.36, 488,627.82 and 193,484.84

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Solution

The fourth proportional to 325,764.36, 488,627.82 and 193,484.84 is: 290,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,764.36 : 488,627.82 = 193,484.84 : x
  2. Step 2: Convert to fraction form
    325,764.36/488,627.82 = 193,484.84/x
  3. Step 3: Cross multiply
    325,764.36x = 488,627.82 × 193,484.84
  4. Step 4: Simplify right side
    325,764.36x = 94,542,075,572.25
  5. Step 5: Solve for x
    x = 94,542,075,572.25/325,764.36
  6. Step 6: Final answer
    x = 290,216.14

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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.