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Finding the Fourth Proportional to 403,668.30, 605,502.45 and 309,189.90

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Solution

The fourth proportional to 403,668.30, 605,502.45 and 309,189.90 is: 463,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,668.30 : 605,502.45 = 309,189.90 : x
  2. Step 2: Convert to fraction form
    403,668.30/605,502.45 = 309,189.90/x
  3. Step 3: Cross multiply
    403,668.30x = 605,502.45 × 309,189.90
  4. Step 4: Simplify right side
    403,668.30x = 187,215,241,965.26
  5. Step 5: Solve for x
    x = 187,215,241,965.26/403,668.30
  6. Step 6: Final answer
    x = 463,784.85

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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.