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Finding the Fourth Proportional to 510,765.75, 704,749.80 and 295,893.00

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Solution

The fourth proportional to 510,765.75, 704,749.80 and 295,893.00 is: 408,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,765.75 : 704,749.80 = 295,893.00 : x
  2. Step 2: Convert to fraction form
    510,765.75/704,749.80 = 295,893.00/x
  3. Step 3: Cross multiply
    510,765.75x = 704,749.80 × 295,893.00
  4. Step 4: Simplify right side
    510,765.75x = 208,530,529,047.65
  5. Step 5: Solve for x
    x = 208,530,529,047.65/510,765.75
  6. Step 6: Final answer
    x = 408,270.39

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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.