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Finding the Fourth Proportional to 295,718.94, 408,091.70 and 168,394.57

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Solution

The fourth proportional to 295,718.94, 408,091.70 and 168,394.57 is: 232,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,718.94 : 408,091.70 = 168,394.57 : x
  2. Step 2: Convert to fraction form
    295,718.94/408,091.70 = 168,394.57/x
  3. Step 3: Cross multiply
    295,718.94x = 408,091.70 × 168,394.57
  4. Step 4: Simplify right side
    295,718.94x = 68,720,425,742.83
  5. Step 5: Solve for x
    x = 68,720,425,742.83/295,718.94
  6. Step 6: Final answer
    x = 232,384.26

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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.