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Finding the Fourth Proportional to 471,047.28, 706,464.77 and 134,080.47

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Solution

The fourth proportional to 471,047.28, 706,464.77 and 134,080.47 is: 201,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,047.28 : 706,464.77 = 134,080.47 : x
  2. Step 2: Convert to fraction form
    471,047.28/706,464.77 = 134,080.47/x
  3. Step 3: Cross multiply
    471,047.28x = 706,464.77 × 134,080.47
  4. Step 4: Simplify right side
    471,047.28x = 94,723,127,729.64
  5. Step 5: Solve for x
    x = 94,723,127,729.64/471,047.28
  6. Step 6: Final answer
    x = 201,090.49

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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.