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Finding the Fourth Proportional to 298,156.94, 411,461.52 and 162,191.62

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Solution

The fourth proportional to 298,156.94, 411,461.52 and 162,191.62 is: 223,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,156.94 : 411,461.52 = 162,191.62 : x
  2. Step 2: Convert to fraction form
    298,156.94/411,461.52 = 162,191.62/x
  3. Step 3: Cross multiply
    298,156.94x = 411,461.52 × 162,191.62
  4. Step 4: Simplify right side
    298,156.94x = 66,735,610,577.84
  5. Step 5: Solve for x
    x = 66,735,610,577.84/298,156.94
  6. Step 6: Final answer
    x = 223,827.13

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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.