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Finding the Fourth Proportional to 338,580.31, 467,274.26 and 193,407.82

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Solution

The fourth proportional to 338,580.31, 467,274.26 and 193,407.82 is: 266,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,580.31 : 467,274.26 = 193,407.82 : x
  2. Step 2: Convert to fraction form
    338,580.31/467,274.26 = 193,407.82/x
  3. Step 3: Cross multiply
    338,580.31x = 467,274.26 × 193,407.82
  4. Step 4: Simplify right side
    338,580.31x = 90,374,495,968.71
  5. Step 5: Solve for x
    x = 90,374,495,968.71/338,580.31
  6. Step 6: Final answer
    x = 266,921.89

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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.