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Finding the Fourth Proportional to 512,066.09, 706,597.61 and 282,619.14

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Solution

The fourth proportional to 512,066.09, 706,597.61 and 282,619.14 is: 389,984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,066.09 : 706,597.61 = 282,619.14 : x
  2. Step 2: Convert to fraction form
    512,066.09/706,597.61 = 282,619.14/x
  3. Step 3: Cross multiply
    512,066.09x = 706,597.61 × 282,619.14
  4. Step 4: Simplify right side
    512,066.09x = 199,698,007,451.16
  5. Step 5: Solve for x
    x = 199,698,007,451.16/512,066.09
  6. Step 6: Final answer
    x = 389,984.83

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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.