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Finding the Fourth Proportional to 294,943.33, 407,056.42 and 167,638.06

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Solution

The fourth proportional to 294,943.33, 407,056.42 and 167,638.06 is: 231,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,943.33 : 407,056.42 = 167,638.06 : x
  2. Step 2: Convert to fraction form
    294,943.33/407,056.42 = 167,638.06/x
  3. Step 3: Cross multiply
    294,943.33x = 407,056.42 × 167,638.06
  4. Step 4: Simplify right side
    294,943.33x = 68,238,148,559.35
  5. Step 5: Solve for x
    x = 68,238,148,559.35/294,943.33
  6. Step 6: Final answer
    x = 231,360.20

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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.