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Finding the Fourth Proportional to 471,387.63, 706,777.17 and 201,691.77

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Solution

The fourth proportional to 471,387.63, 706,777.17 and 201,691.77 is: 302,407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,387.63 : 706,777.17 = 201,691.77 : x
  2. Step 2: Convert to fraction form
    471,387.63/706,777.17 = 201,691.77/x
  3. Step 3: Cross multiply
    471,387.63x = 706,777.17 × 201,691.77
  4. Step 4: Simplify right side
    471,387.63x = 142,551,138,412.89
  5. Step 5: Solve for x
    x = 142,551,138,412.89/471,387.63
  6. Step 6: Final answer
    x = 302,407.47

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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.