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Finding the Fourth Proportional to 329,533.85, 494,122.93 and 149,521.04

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Solution

The fourth proportional to 329,533.85, 494,122.93 and 149,521.04 is: 224,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,533.85 : 494,122.93 = 149,521.04 : x
  2. Step 2: Convert to fraction form
    329,533.85/494,122.93 = 149,521.04/x
  3. Step 3: Cross multiply
    329,533.85x = 494,122.93 × 149,521.04
  4. Step 4: Simplify right side
    329,533.85x = 73,881,774,381.45
  5. Step 5: Solve for x
    x = 73,881,774,381.45/329,533.85
  6. Step 6: Final answer
    x = 224,200.87

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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.