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Finding the Fourth Proportional to 300,511.72, 414,706.29 and 164,554.29

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Solution

The fourth proportional to 300,511.72, 414,706.29 and 164,554.29 is: 227,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,511.72 : 414,706.29 = 164,554.29 : x
  2. Step 2: Convert to fraction form
    300,511.72/414,706.29 = 164,554.29/x
  3. Step 3: Cross multiply
    300,511.72x = 414,706.29 × 164,554.29
  4. Step 4: Simplify right side
    300,511.72x = 68,241,699,109.48
  5. Step 5: Solve for x
    x = 68,241,699,109.48/300,511.72
  6. Step 6: Final answer
    x = 227,084.98

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1.5x scale

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.