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Finding the Fourth Proportional to 291,966.96, 403,023.96 and 191,371.44

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Solution

The fourth proportional to 291,966.96, 403,023.96 and 191,371.44 is: 264,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,966.96 : 403,023.96 = 191,371.44 : x
  2. Step 2: Convert to fraction form
    291,966.96/403,023.96 = 191,371.44/x
  3. Step 3: Cross multiply
    291,966.96x = 403,023.96 × 191,371.44
  4. Step 4: Simplify right side
    291,966.96x = 77,127,275,579.70
  5. Step 5: Solve for x
    x = 77,127,275,579.70/291,966.96
  6. Step 6: Final answer
    x = 264,164.40

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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.