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Finding the Fourth Proportional to 492,604.02, 739,197.86 and 208,279.04

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Solution

The fourth proportional to 492,604.02, 739,197.86 and 208,279.04 is: 312,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,604.02 : 739,197.86 = 208,279.04 : x
  2. Step 2: Convert to fraction form
    492,604.02/739,197.86 = 208,279.04/x
  3. Step 3: Cross multiply
    492,604.02x = 739,197.86 × 208,279.04
  4. Step 4: Simplify right side
    492,604.02x = 153,959,415,913.47
  5. Step 5: Solve for x
    x = 153,959,415,913.47/492,604.02
  6. Step 6: Final answer
    x = 312,541.94

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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.