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Finding the Fourth Proportional to 295,736.40, 408,055.32 and 174,881.16

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Solution

The fourth proportional to 295,736.40, 408,055.32 and 174,881.16 is: 241,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,736.40 : 408,055.32 = 174,881.16 : x
  2. Step 2: Convert to fraction form
    295,736.40/408,055.32 = 174,881.16/x
  3. Step 3: Cross multiply
    295,736.40x = 408,055.32 × 174,881.16
  4. Step 4: Simplify right side
    295,736.40x = 71,361,187,705.77
  5. Step 5: Solve for x
    x = 71,361,187,705.77/295,736.40
  6. Step 6: Final answer
    x = 241,299.98

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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.