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Finding the Fourth Proportional to 460,200.30, 690,018.57 and 179,389.50

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Solution

The fourth proportional to 460,200.30, 690,018.57 and 179,389.50 is: 268,974.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,200.30 : 690,018.57 = 179,389.50 : x
  2. Step 2: Convert to fraction form
    460,200.30/690,018.57 = 179,389.50/x
  3. Step 3: Cross multiply
    460,200.30x = 690,018.57 × 179,389.50
  4. Step 4: Simplify right side
    460,200.30x = 123,782,086,263.02
  5. Step 5: Solve for x
    x = 123,782,086,263.02/460,200.30
  6. Step 6: Final answer
    x = 268,974.37

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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.