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Finding the Fourth Proportional to 413,821.60, 620,732.40 and 164,503.60

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Solution

The fourth proportional to 413,821.60, 620,732.40 and 164,503.60 is: 246,755.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,821.60 : 620,732.40 = 164,503.60 : x
  2. Step 2: Convert to fraction form
    413,821.60/620,732.40 = 164,503.60/x
  3. Step 3: Cross multiply
    413,821.60x = 620,732.40 × 164,503.60
  4. Step 4: Simplify right side
    413,821.60x = 102,112,714,436.64
  5. Step 5: Solve for x
    x = 102,112,714,436.64/413,821.60
  6. Step 6: Final answer
    x = 246,755.40

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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.