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Finding the Fourth Proportional to 288,475.82, 432,936.93 and 188,608.94

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Solution

The fourth proportional to 288,475.82, 432,936.93 and 188,608.94 is: 283,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,475.82 : 432,936.93 = 188,608.94 : x
  2. Step 2: Convert to fraction form
    288,475.82/432,936.93 = 188,608.94/x
  3. Step 3: Cross multiply
    288,475.82x = 432,936.93 × 188,608.94
  4. Step 4: Simplify right side
    288,475.82x = 81,655,775,454.15
  5. Step 5: Solve for x
    x = 81,655,775,454.15/288,475.82
  6. Step 6: Final answer
    x = 283,059.34

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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.