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Finding the Fourth Proportional to 342,953.06, 473,274.32 and 189,991.55

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Solution

The fourth proportional to 342,953.06, 473,274.32 and 189,991.55 is: 262,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,953.06 : 473,274.32 = 189,991.55 : x
  2. Step 2: Convert to fraction form
    342,953.06/473,274.32 = 189,991.55/x
  3. Step 3: Cross multiply
    342,953.06x = 473,274.32 × 189,991.55
  4. Step 4: Simplify right side
    342,953.06x = 89,918,121,865.22
  5. Step 5: Solve for x
    x = 89,918,121,865.22/342,953.06
  6. Step 6: Final answer
    x = 262,187.84

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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.