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Finding the Fourth Proportional to 297,998.13, 411,237.48 and 163,862.13

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Solution

The fourth proportional to 297,998.13, 411,237.48 and 163,862.13 is: 226,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,998.13 : 411,237.48 = 163,862.13 : x
  2. Step 2: Convert to fraction form
    297,998.13/411,237.48 = 163,862.13/x
  3. Step 3: Cross multiply
    297,998.13x = 411,237.48 × 163,862.13
  4. Step 4: Simplify right side
    297,998.13x = 67,386,249,408.63
  5. Step 5: Solve for x
    x = 67,386,249,408.63/297,998.13
  6. Step 6: Final answer
    x = 226,129.77

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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.