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Finding the Fourth Proportional to 492,871.74, 739,307.82 and 208,488.56

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Solution

The fourth proportional to 492,871.74, 739,307.82 and 208,488.56 is: 312,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,871.74 : 739,307.82 = 208,488.56 : x
  2. Step 2: Convert to fraction form
    492,871.74/739,307.82 = 208,488.56/x
  3. Step 3: Cross multiply
    492,871.74x = 739,307.82 × 208,488.56
  4. Step 4: Simplify right side
    492,871.74x = 154,137,222,788.54
  5. Step 5: Solve for x
    x = 154,137,222,788.54/492,871.74
  6. Step 6: Final answer
    x = 312,732.93

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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.