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Finding the Fourth Proportional to 346,093, 477,608.34 and 187,117

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Solution

The fourth proportional to 346,093, 477,608.34 and 187,117 is: 258,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,093 : 477,608.34 = 187,117 : x
  2. Step 2: Convert to fraction form
    346,093/477,608.34 = 187,117/x
  3. Step 3: Cross multiply
    346,093x = 477,608.34 × 187,117
  4. Step 4: Simplify right side
    346,093x = 89,368,639,755.78
  5. Step 5: Solve for x
    x = 89,368,639,755.78/346,093
  6. Step 6: Final answer
    x = 258,221.46

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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.