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Finding the Fourth Proportional to 401,140.38, 601,333.74 and 134,714.07

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Solution

The fourth proportional to 401,140.38, 601,333.74 and 134,714.07 is: 201,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,140.38 : 601,333.74 = 134,714.07 : x
  2. Step 2: Convert to fraction form
    401,140.38/601,333.74 = 134,714.07/x
  3. Step 3: Cross multiply
    401,140.38x = 601,333.74 × 134,714.07
  4. Step 4: Simplify right side
    401,140.38x = 81,008,115,543.72
  5. Step 5: Solve for x
    x = 81,008,115,543.72/401,140.38
  6. Step 6: Final answer
    x = 201,944.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.