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Finding the Fourth Proportional to 504,206, 695,795.64 and 274,765.40

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Solution

The fourth proportional to 504,206, 695,795.64 and 274,765.40 is: 379,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,206 : 695,795.64 = 274,765.40 : x
  2. Step 2: Convert to fraction form
    504,206/695,795.64 = 274,765.40/x
  3. Step 3: Cross multiply
    504,206x = 695,795.64 × 274,765.40
  4. Step 4: Simplify right side
    504,206x = 191,180,567,342.86
  5. Step 5: Solve for x
    x = 191,180,567,342.86/504,206
  6. Step 6: Final answer
    x = 379,171.54

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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.