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Finding the Fourth Proportional to 460,596.08, 690,894.12 and 179,916.50

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Solution

The fourth proportional to 460,596.08, 690,894.12 and 179,916.50 is: 269,874.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,596.08 : 690,894.12 = 179,916.50 : x
  2. Step 2: Convert to fraction form
    460,596.08/690,894.12 = 179,916.50/x
  3. Step 3: Cross multiply
    460,596.08x = 690,894.12 × 179,916.50
  4. Step 4: Simplify right side
    460,596.08x = 124,303,251,940.98
  5. Step 5: Solve for x
    x = 124,303,251,940.98/460,596.08
  6. Step 6: Final answer
    x = 269,874.75

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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.