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Finding the Fourth Proportional to 346,714.38, 476,628.48 and 298,138.14

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Solution

The fourth proportional to 346,714.38, 476,628.48 and 298,138.14 is: 409,850.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,714.38 : 476,628.48 = 298,138.14 : x
  2. Step 2: Convert to fraction form
    346,714.38/476,628.48 = 298,138.14/x
  3. Step 3: Cross multiply
    346,714.38x = 476,628.48 × 298,138.14
  4. Step 4: Simplify right side
    346,714.38x = 142,101,128,498.23
  5. Step 5: Solve for x
    x = 142,101,128,498.23/346,714.38
  6. Step 6: Final answer
    x = 409,850.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.