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Finding the Fourth Proportional to 346,208, 477,768.48 and 187,232

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Solution

The fourth proportional to 346,208, 477,768.48 and 187,232 is: 258,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,208 : 477,768.48 = 187,232 : x
  2. Step 2: Convert to fraction form
    346,208/477,768.48 = 187,232/x
  3. Step 3: Cross multiply
    346,208x = 477,768.48 × 187,232
  4. Step 4: Simplify right side
    346,208x = 89,453,548,047.36
  5. Step 5: Solve for x
    x = 89,453,548,047.36/346,208
  6. Step 6: Final answer
    x = 258,380.94

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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.