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Finding the Fourth Proportional to 345,672, 477,027.63 and 186,696

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Solution

The fourth proportional to 345,672, 477,027.63 and 186,696 is: 257,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,672 : 477,027.63 = 186,696 : x
  2. Step 2: Convert to fraction form
    345,672/477,027.63 = 186,696/x
  3. Step 3: Cross multiply
    345,672x = 477,027.63 × 186,696
  4. Step 4: Simplify right side
    345,672x = 89,059,150,410.48
  5. Step 5: Solve for x
    x = 89,059,150,410.48/345,672
  6. Step 6: Final answer
    x = 257,640.63

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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.