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Finding the Fourth Proportional to 346,077.26, 477,591.14 and 200,916.96

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Solution

The fourth proportional to 346,077.26, 477,591.14 and 200,916.96 is: 277,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,077.26 : 477,591.14 = 200,916.96 : x
  2. Step 2: Convert to fraction form
    346,077.26/477,591.14 = 200,916.96/x
  3. Step 3: Cross multiply
    346,077.26x = 477,591.14 × 200,916.96
  4. Step 4: Simplify right side
    346,077.26x = 95,956,157,552.90
  5. Step 5: Solve for x
    x = 95,956,157,552.90/346,077.26
  6. Step 6: Final answer
    x = 277,268.02

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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.