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Finding the Fourth Proportional to 346,116.51, 477,640.53 and 195,213.51

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Solution

The fourth proportional to 346,116.51, 477,640.53 and 195,213.51 is: 269,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,116.51 : 477,640.53 = 195,213.51 : x
  2. Step 2: Convert to fraction form
    346,116.51/477,640.53 = 195,213.51/x
  3. Step 3: Cross multiply
    346,116.51x = 477,640.53 × 195,213.51
  4. Step 4: Simplify right side
    346,116.51x = 93,241,884,379.56
  5. Step 5: Solve for x
    x = 93,241,884,379.56/346,116.51
  6. Step 6: Final answer
    x = 269,394.50

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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.