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Finding the Fourth Proportional to 603,289.80, 905,056.20 and 176,824.80

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Solution

The fourth proportional to 603,289.80, 905,056.20 and 176,824.80 is: 265,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,289.80 : 905,056.20 = 176,824.80 : x
  2. Step 2: Convert to fraction form
    603,289.80/905,056.20 = 176,824.80/x
  3. Step 3: Cross multiply
    603,289.80x = 905,056.20 × 176,824.80
  4. Step 4: Simplify right side
    603,289.80x = 160,036,381,553.76
  5. Step 5: Solve for x
    x = 160,036,381,553.76/603,289.80
  6. Step 6: Final answer
    x = 265,272.81

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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.