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Finding the Fourth Proportional to 517,277.75, 713,830.12 and 299,456.19

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Solution

The fourth proportional to 517,277.75, 713,830.12 and 299,456.19 is: 413,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,277.75 : 713,830.12 = 299,456.19 : x
  2. Step 2: Convert to fraction form
    517,277.75/713,830.12 = 299,456.19/x
  3. Step 3: Cross multiply
    517,277.75x = 713,830.12 × 299,456.19
  4. Step 4: Simplify right side
    517,277.75x = 213,760,847,293.80
  5. Step 5: Solve for x
    x = 213,760,847,293.80/517,277.75
  6. Step 6: Final answer
    x = 413,241.92

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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.