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Finding the Fourth Proportional to 380,427.96, 524,984.20 and 210,658.44

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Solution

The fourth proportional to 380,427.96, 524,984.20 and 210,658.44 is: 290,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,427.96 : 524,984.20 = 210,658.44 : x
  2. Step 2: Convert to fraction form
    380,427.96/524,984.20 = 210,658.44/x
  3. Step 3: Cross multiply
    380,427.96x = 524,984.20 × 210,658.44
  4. Step 4: Simplify right side
    380,427.96x = 110,592,352,596.65
  5. Step 5: Solve for x
    x = 110,592,352,596.65/380,427.96
  6. Step 6: Final answer
    x = 290,705.11

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