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Finding the Fourth Proportional to 413,696.80, 620,852.40 and 164,557.60

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Solution

The fourth proportional to 413,696.80, 620,852.40 and 164,557.60 is: 246,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,696.80 : 620,852.40 = 164,557.60 : x
  2. Step 2: Convert to fraction form
    413,696.80/620,852.40 = 164,557.60/x
  3. Step 3: Cross multiply
    413,696.80x = 620,852.40 × 164,557.60
  4. Step 4: Simplify right side
    413,696.80x = 102,165,980,898.24
  5. Step 5: Solve for x
    x = 102,165,980,898.24/413,696.80
  6. Step 6: Final answer
    x = 246,958.60

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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.