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Finding the Fourth Proportional to 315,357.60, 472,795.44 and 157,696.80

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Solution

The fourth proportional to 315,357.60, 472,795.44 and 157,696.80 is: 236,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,357.60 : 472,795.44 = 157,696.80 : x
  2. Step 2: Convert to fraction form
    315,357.60/472,795.44 = 157,696.80/x
  3. Step 3: Cross multiply
    315,357.60x = 472,795.44 × 157,696.80
  4. Step 4: Simplify right side
    315,357.60x = 74,558,327,942.59
  5. Step 5: Solve for x
    x = 74,558,327,942.59/315,357.60
  6. Step 6: Final answer
    x = 236,424.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.