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Finding the Fourth Proportional to 295,638.71, 407,981.82 and 168,314.31

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Solution

The fourth proportional to 295,638.71, 407,981.82 and 168,314.31 is: 232,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,638.71 : 407,981.82 = 168,314.31 : x
  2. Step 2: Convert to fraction form
    295,638.71/407,981.82 = 168,314.31/x
  3. Step 3: Cross multiply
    295,638.71x = 407,981.82 × 168,314.31
  4. Step 4: Simplify right side
    295,638.71x = 68,669,178,525.84
  5. Step 5: Solve for x
    x = 68,669,178,525.84/295,638.71
  6. Step 6: Final answer
    x = 232,273.98

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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.