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Finding the Fourth Proportional to 329,000.80, 493,357.20 and 151,448.80

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Solution

The fourth proportional to 329,000.80, 493,357.20 and 151,448.80 is: 227,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,000.80 : 493,357.20 = 151,448.80 : x
  2. Step 2: Convert to fraction form
    329,000.80/493,357.20 = 151,448.80/x
  3. Step 3: Cross multiply
    329,000.80x = 493,357.20 × 151,448.80
  4. Step 4: Simplify right side
    329,000.80x = 74,718,355,911.36
  5. Step 5: Solve for x
    x = 74,718,355,911.36/329,000.80
  6. Step 6: Final answer
    x = 227,106.91

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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.