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Finding the Fourth Proportional to 290,821.80, 436,232.70 and 164,332.20

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Solution

The fourth proportional to 290,821.80, 436,232.70 and 164,332.20 is: 246,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,821.80 : 436,232.70 = 164,332.20 : x
  2. Step 2: Convert to fraction form
    290,821.80/436,232.70 = 164,332.20/x
  3. Step 3: Cross multiply
    290,821.80x = 436,232.70 × 164,332.20
  4. Step 4: Simplify right side
    290,821.80x = 71,687,079,302.94
  5. Step 5: Solve for x
    x = 71,687,079,302.94/290,821.80
  6. Step 6: Final answer
    x = 246,498.30

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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.