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Finding the Fourth Proportional to 363,090.54, 501,029.84 and 210,098.21

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Solution

The fourth proportional to 363,090.54, 501,029.84 and 210,098.21 is: 289,915.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,090.54 : 501,029.84 = 210,098.21 : x
  2. Step 2: Convert to fraction form
    363,090.54/501,029.84 = 210,098.21/x
  3. Step 3: Cross multiply
    363,090.54x = 501,029.84 × 210,098.21
  4. Step 4: Simplify right side
    363,090.54x = 105,265,474,318.41
  5. Step 5: Solve for x
    x = 105,265,474,318.41/363,090.54
  6. Step 6: Final answer
    x = 289,915.22

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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.