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Finding the Fourth Proportional to 282,010.30, 423,015.45 and 264,514.30

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Solution

The fourth proportional to 282,010.30, 423,015.45 and 264,514.30 is: 396,771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,010.30 : 423,015.45 = 264,514.30 : x
  2. Step 2: Convert to fraction form
    282,010.30/423,015.45 = 264,514.30/x
  3. Step 3: Cross multiply
    282,010.30x = 423,015.45 × 264,514.30
  4. Step 4: Simplify right side
    282,010.30x = 111,893,635,645.94
  5. Step 5: Solve for x
    x = 111,893,635,645.94/282,010.30
  6. Step 6: Final answer
    x = 396,771.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.