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Finding the Fourth Proportional to 326,703.84, 490,074.20 and 116,341.80

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Solution

The fourth proportional to 326,703.84, 490,074.20 and 116,341.80 is: 174,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,703.84 : 490,074.20 = 116,341.80 : x
  2. Step 2: Convert to fraction form
    326,703.84/490,074.20 = 116,341.80/x
  3. Step 3: Cross multiply
    326,703.84x = 490,074.20 × 116,341.80
  4. Step 4: Simplify right side
    326,703.84x = 57,016,114,561.56
  5. Step 5: Solve for x
    x = 57,016,114,561.56/326,703.84
  6. Step 6: Final answer
    x = 174,519.27

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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.