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Finding the Fourth Proportional to 460,611.59, 690,981.97 and 161,024.03

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Solution

The fourth proportional to 460,611.59, 690,981.97 and 161,024.03 is: 241,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,611.59 : 690,981.97 = 161,024.03 : x
  2. Step 2: Convert to fraction form
    460,611.59/690,981.97 = 161,024.03/x
  3. Step 3: Cross multiply
    460,611.59x = 690,981.97 × 161,024.03
  4. Step 4: Simplify right side
    460,611.59x = 111,264,697,206.71
  5. Step 5: Solve for x
    x = 111,264,697,206.71/460,611.59
  6. Step 6: Final answer
    x = 241,558.62

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Why These Related Problems?

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