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Finding the Fourth Proportional to 295,698.96, 408,068.46 and 168,375.06

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Solution

The fourth proportional to 295,698.96, 408,068.46 and 168,375.06 is: 232,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,698.96 : 408,068.46 = 168,375.06 : x
  2. Step 2: Convert to fraction form
    295,698.96/408,068.46 = 168,375.06/x
  3. Step 3: Cross multiply
    295,698.96x = 408,068.46 × 168,375.06
  4. Step 4: Simplify right side
    295,698.96x = 68,708,551,436.61
  5. Step 5: Solve for x
    x = 68,708,551,436.61/295,698.96
  6. Step 6: Final answer
    x = 232,359.80

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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.