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Finding the Fourth Proportional to 471,593.04, 706,962.90 and 172,003.44

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Solution

The fourth proportional to 471,593.04, 706,962.90 and 172,003.44 is: 257,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,593.04 : 706,962.90 = 172,003.44 : x
  2. Step 2: Convert to fraction form
    471,593.04/706,962.90 = 172,003.44/x
  3. Step 3: Cross multiply
    471,593.04x = 706,962.90 × 172,003.44
  4. Step 4: Simplify right side
    471,593.04x = 121,600,050,752.38
  5. Step 5: Solve for x
    x = 121,600,050,752.38/471,593.04
  6. Step 6: Final answer
    x = 257,849.54

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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.