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Finding the Fourth Proportional to 510,765.25, 704,749.11 and 295,892.50

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Solution

The fourth proportional to 510,765.25, 704,749.11 and 295,892.50 is: 408,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,765.25 : 704,749.11 = 295,892.50 : x
  2. Step 2: Convert to fraction form
    510,765.25/704,749.11 = 295,892.50/x
  3. Step 3: Cross multiply
    510,765.25x = 704,749.11 × 295,892.50
  4. Step 4: Simplify right side
    510,765.25x = 208,529,972,506.93
  5. Step 5: Solve for x
    x = 208,529,972,506.93/510,765.25
  6. Step 6: Final answer
    x = 408,269.70

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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.