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Finding the Fourth Proportional to 492,095.19, 737,880.35 and 254,849.43

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Solution

The fourth proportional to 492,095.19, 737,880.35 and 254,849.43 is: 382,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,095.19 : 737,880.35 = 254,849.43 : x
  2. Step 2: Convert to fraction form
    492,095.19/737,880.35 = 254,849.43/x
  3. Step 3: Cross multiply
    492,095.19x = 737,880.35 × 254,849.43
  4. Step 4: Simplify right side
    492,095.19x = 188,048,385,331.45
  5. Step 5: Solve for x
    x = 188,048,385,331.45/492,095.19
  6. Step 6: Final answer
    x = 382,138.23

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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.