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Finding the Fourth Proportional to 418,853.26, 577,758.31 and 365,266.90

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Solution

The fourth proportional to 418,853.26, 577,758.31 and 365,266.90 is: 503,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,853.26 : 577,758.31 = 365,266.90 : x
  2. Step 2: Convert to fraction form
    418,853.26/577,758.31 = 365,266.90/x
  3. Step 3: Cross multiply
    418,853.26x = 577,758.31 × 365,266.90
  4. Step 4: Simplify right side
    418,853.26x = 211,035,986,842.94
  5. Step 5: Solve for x
    x = 211,035,986,842.94/418,853.26
  6. Step 6: Final answer
    x = 503,842.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.