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Finding the Fourth Proportional to 512,736.52, 707,554.50 and 294,928.60

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Solution

The fourth proportional to 512,736.52, 707,554.50 and 294,928.60 is: 406,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,736.52 : 707,554.50 = 294,928.60 : x
  2. Step 2: Convert to fraction form
    512,736.52/707,554.50 = 294,928.60/x
  3. Step 3: Cross multiply
    512,736.52x = 707,554.50 × 294,928.60
  4. Step 4: Simplify right side
    512,736.52x = 208,678,058,108.70
  5. Step 5: Solve for x
    x = 208,678,058,108.70/512,736.52
  6. Step 6: Final answer
    x = 406,988.87

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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.