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Finding the Fourth Proportional to 468,525, 646,514.89 and 264,563.56

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Solution

The fourth proportional to 468,525, 646,514.89 and 264,563.56 is: 365,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,525 : 646,514.89 = 264,563.56 : x
  2. Step 2: Convert to fraction form
    468,525/646,514.89 = 264,563.56/x
  3. Step 3: Cross multiply
    468,525x = 646,514.89 × 264,563.56
  4. Step 4: Simplify right side
    468,525x = 171,044,278,613.71
  5. Step 5: Solve for x
    x = 171,044,278,613.71/468,525
  6. Step 6: Final answer
    x = 365,069.69

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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.