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Finding the Fourth Proportional to 410,898.56, 567,029.08 and 229,611.96

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Solution

The fourth proportional to 410,898.56, 567,029.08 and 229,611.96 is: 316,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,898.56 : 567,029.08 = 229,611.96 : x
  2. Step 2: Convert to fraction form
    410,898.56/567,029.08 = 229,611.96/x
  3. Step 3: Cross multiply
    410,898.56x = 567,029.08 × 229,611.96
  4. Step 4: Simplify right side
    410,898.56x = 130,196,658,435.80
  5. Step 5: Solve for x
    x = 130,196,658,435.80/410,898.56
  6. Step 6: Final answer
    x = 316,858.40

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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.