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Finding the Fourth Proportional to 329,698.80, 494,402.40 and 152,114.40

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Solution

The fourth proportional to 329,698.80, 494,402.40 and 152,114.40 is: 228,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,698.80 : 494,402.40 = 152,114.40 : x
  2. Step 2: Convert to fraction form
    329,698.80/494,402.40 = 152,114.40/x
  3. Step 3: Cross multiply
    329,698.80x = 494,402.40 × 152,114.40
  4. Step 4: Simplify right side
    329,698.80x = 75,205,724,434.56
  5. Step 5: Solve for x
    x = 75,205,724,434.56/329,698.80
  6. Step 6: Final answer
    x = 228,104.33

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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.