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Finding the Fourth Proportional to 513,156.33, 708,268.12 and 298,420.27

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Solution

The fourth proportional to 513,156.33, 708,268.12 and 298,420.27 is: 411,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,156.33 : 708,268.12 = 298,420.27 : x
  2. Step 2: Convert to fraction form
    513,156.33/708,268.12 = 298,420.27/x
  3. Step 3: Cross multiply
    513,156.33x = 708,268.12 × 298,420.27
  4. Step 4: Simplify right side
    513,156.33x = 211,361,561,086.07
  5. Step 5: Solve for x
    x = 211,361,561,086.07/513,156.33
  6. Step 6: Final answer
    x = 411,885.32

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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.