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Finding the Fourth Proportional to 492,071.84, 679,109.30 and 301,211.36

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Solution

The fourth proportional to 492,071.84, 679,109.30 and 301,211.36 is: 415,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,071.84 : 679,109.30 = 301,211.36 : x
  2. Step 2: Convert to fraction form
    492,071.84/679,109.30 = 301,211.36/x
  3. Step 3: Cross multiply
    492,071.84x = 679,109.30 × 301,211.36
  4. Step 4: Simplify right side
    492,071.84x = 204,555,435,841.65
  5. Step 5: Solve for x
    x = 204,555,435,841.65/492,071.84
  6. Step 6: Final answer
    x = 415,702.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.