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Finding the Fourth Proportional to 293,886.77, 405,188.30 and 190,338.02

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Solution

The fourth proportional to 293,886.77, 405,188.30 and 190,338.02 is: 262,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,886.77 : 405,188.30 = 190,338.02 : x
  2. Step 2: Convert to fraction form
    293,886.77/405,188.30 = 190,338.02/x
  3. Step 3: Cross multiply
    293,886.77x = 405,188.30 × 190,338.02
  4. Step 4: Simplify right side
    293,886.77x = 77,122,738,749.17
  5. Step 5: Solve for x
    x = 77,122,738,749.17/293,886.77
  6. Step 6: Final answer
    x = 262,423.31

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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.