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Finding the Fourth Proportional to 488,794.50, 733,257.36 and 208,377.36

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Solution

The fourth proportional to 488,794.50, 733,257.36 and 208,377.36 is: 312,594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,794.50 : 733,257.36 = 208,377.36 : x
  2. Step 2: Convert to fraction form
    488,794.50/733,257.36 = 208,377.36/x
  3. Step 3: Cross multiply
    488,794.50x = 733,257.36 × 208,377.36
  4. Step 4: Simplify right side
    488,794.50x = 152,794,232,877.37
  5. Step 5: Solve for x
    x = 152,794,232,877.37/488,794.50
  6. Step 6: Final answer
    x = 312,594.01

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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.