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Finding the Fourth Proportional to 329,833.80, 494,702.10 and 93,200.40

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Solution

The fourth proportional to 329,833.80, 494,702.10 and 93,200.40 is: 139,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,833.80 : 494,702.10 = 93,200.40 : x
  2. Step 2: Convert to fraction form
    329,833.80/494,702.10 = 93,200.40/x
  3. Step 3: Cross multiply
    329,833.80x = 494,702.10 × 93,200.40
  4. Step 4: Simplify right side
    329,833.80x = 46,106,433,600.84
  5. Step 5: Solve for x
    x = 46,106,433,600.84/329,833.80
  6. Step 6: Final answer
    x = 139,786.87

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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.