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Finding the Fourth Proportional to 512,020.96, 706,629.00 and 282,623.79

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Solution

The fourth proportional to 512,020.96, 706,629.00 and 282,623.79 is: 390,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,020.96 : 706,629.00 = 282,623.79 : x
  2. Step 2: Convert to fraction form
    512,020.96/706,629.00 = 282,623.79/x
  3. Step 3: Cross multiply
    512,020.96x = 706,629.00 × 282,623.79
  4. Step 4: Simplify right side
    512,020.96x = 199,710,169,813.61
  5. Step 5: Solve for x
    x = 199,710,169,813.61/512,020.96
  6. Step 6: Final answer
    x = 390,042.96

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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.