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Finding the Fourth Proportional to 471,005.12, 706,272.24 and 201,090.44

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Solution

The fourth proportional to 471,005.12, 706,272.24 and 201,090.44 is: 301,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,005.12 : 706,272.24 = 201,090.44 : x
  2. Step 2: Convert to fraction form
    471,005.12/706,272.24 = 201,090.44/x
  3. Step 3: Cross multiply
    471,005.12x = 706,272.24 × 201,090.44
  4. Step 4: Simplify right side
    471,005.12x = 142,024,595,501.39
  5. Step 5: Solve for x
    x = 142,024,595,501.39/471,005.12
  6. Step 6: Final answer
    x = 301,535.14

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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.