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Finding the Fourth Proportional to 329,559.60, 494,383.14 and 152,106.42

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Solution

The fourth proportional to 329,559.60, 494,383.14 and 152,106.42 is: 228,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,559.60 : 494,383.14 = 152,106.42 : x
  2. Step 2: Convert to fraction form
    329,559.60/494,383.14 = 152,106.42/x
  3. Step 3: Cross multiply
    329,559.60x = 494,383.14 × 152,106.42
  4. Step 4: Simplify right side
    329,559.60x = 75,198,849,533.76
  5. Step 5: Solve for x
    x = 75,198,849,533.76/329,559.60
  6. Step 6: Final answer
    x = 228,179.82

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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.