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Finding the Fourth Proportional to 338,973.86, 467,782.64 and 186,014.63

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Solution

The fourth proportional to 338,973.86, 467,782.64 and 186,014.63 is: 256,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,973.86 : 467,782.64 = 186,014.63 : x
  2. Step 2: Convert to fraction form
    338,973.86/467,782.64 = 186,014.63/x
  3. Step 3: Cross multiply
    338,973.86x = 467,782.64 × 186,014.63
  4. Step 4: Simplify right side
    338,973.86x = 87,014,414,052.02
  5. Step 5: Solve for x
    x = 87,014,414,052.02/338,973.86
  6. Step 6: Final answer
    x = 256,699.48

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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.