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Finding the Fourth Proportional to 295,711.94, 408,082.08 and 168,387.54

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Solution

The fourth proportional to 295,711.94, 408,082.08 and 168,387.54 is: 232,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,711.94 : 408,082.08 = 168,387.54 : x
  2. Step 2: Convert to fraction form
    295,711.94/408,082.08 = 168,387.54/x
  3. Step 3: Cross multiply
    295,711.94x = 408,082.08 × 168,387.54
  4. Step 4: Simplify right side
    295,711.94x = 68,715,937,569.28
  5. Step 5: Solve for x
    x = 68,715,937,569.28/295,711.94
  6. Step 6: Final answer
    x = 232,374.58

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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.