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Finding the Fourth Proportional to 295,533.88, 407,971.02 and 188,251

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Solution

The fourth proportional to 295,533.88, 407,971.02 and 188,251 is: 259,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,533.88 : 407,971.02 = 188,251 : x
  2. Step 2: Convert to fraction form
    295,533.88/407,971.02 = 188,251/x
  3. Step 3: Cross multiply
    295,533.88x = 407,971.02 × 188,251
  4. Step 4: Simplify right side
    295,533.88x = 76,800,952,486.02
  5. Step 5: Solve for x
    x = 76,800,952,486.02/295,533.88
  6. Step 6: Final answer
    x = 259,871.91

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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.