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Finding the Fourth Proportional to 612,974.50, 919,461.75 and 169,742.50

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Solution

The fourth proportional to 612,974.50, 919,461.75 and 169,742.50 is: 254,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,974.50 : 919,461.75 = 169,742.50 : x
  2. Step 2: Convert to fraction form
    612,974.50/919,461.75 = 169,742.50/x
  3. Step 3: Cross multiply
    612,974.50x = 919,461.75 × 169,742.50
  4. Step 4: Simplify right side
    612,974.50x = 156,071,736,099.38
  5. Step 5: Solve for x
    x = 156,071,736,099.38/612,974.50
  6. Step 6: Final answer
    x = 254,613.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.