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Finding the Fourth Proportional to 346,167.52, 477,755.04 and 200,942.32

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Solution

The fourth proportional to 346,167.52, 477,755.04 and 200,942.32 is: 277,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,167.52 : 477,755.04 = 200,942.32 : x
  2. Step 2: Convert to fraction form
    346,167.52/477,755.04 = 200,942.32/x
  3. Step 3: Cross multiply
    346,167.52x = 477,755.04 × 200,942.32
  4. Step 4: Simplify right side
    346,167.52x = 96,001,206,129.29
  5. Step 5: Solve for x
    x = 96,001,206,129.29/346,167.52
  6. Step 6: Final answer
    x = 277,325.86

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1.5x scale

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.