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Finding the Fourth Proportional to 323,703.54, 446,734.53 and 187,783.92

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Solution

The fourth proportional to 323,703.54, 446,734.53 and 187,783.92 is: 259,155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,703.54 : 446,734.53 = 187,783.92 : x
  2. Step 2: Convert to fraction form
    323,703.54/446,734.53 = 187,783.92/x
  3. Step 3: Cross multiply
    323,703.54x = 446,734.53 × 187,783.92
  4. Step 4: Simplify right side
    323,703.54x = 83,889,561,242.76
  5. Step 5: Solve for x
    x = 83,889,561,242.76/323,703.54
  6. Step 6: Final answer
    x = 259,155.53

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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.