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Finding the Fourth Proportional to 295,611.84, 407,944.71 and 168,287.25

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Solution

The fourth proportional to 295,611.84, 407,944.71 and 168,287.25 is: 232,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,611.84 : 407,944.71 = 168,287.25 : x
  2. Step 2: Convert to fraction form
    295,611.84/407,944.71 = 168,287.25/x
  3. Step 3: Cross multiply
    295,611.84x = 407,944.71 × 168,287.25
  4. Step 4: Simplify right side
    295,611.84x = 68,651,893,397.95
  5. Step 5: Solve for x
    x = 68,651,893,397.95/295,611.84
  6. Step 6: Final answer
    x = 232,236.62

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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.