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Finding the Fourth Proportional to 347,069, 478,955.54 and 188,093

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Solution

The fourth proportional to 347,069, 478,955.54 and 188,093 is: 259,568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,069 : 478,955.54 = 188,093 : x
  2. Step 2: Convert to fraction form
    347,069/478,955.54 = 188,093/x
  3. Step 3: Cross multiply
    347,069x = 478,955.54 × 188,093
  4. Step 4: Simplify right side
    347,069x = 90,088,184,385.22
  5. Step 5: Solve for x
    x = 90,088,184,385.22/347,069
  6. Step 6: Final answer
    x = 259,568.51

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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.