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Finding the Fourth Proportional to 413,555.60, 620,333.40 and 164,237.60

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Solution

The fourth proportional to 413,555.60, 620,333.40 and 164,237.60 is: 246,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,555.60 : 620,333.40 = 164,237.60 : x
  2. Step 2: Convert to fraction form
    413,555.60/620,333.40 = 164,237.60/x
  3. Step 3: Cross multiply
    413,555.60x = 620,333.40 × 164,237.60
  4. Step 4: Simplify right side
    413,555.60x = 101,882,068,815.84
  5. Step 5: Solve for x
    x = 101,882,068,815.84/413,555.60
  6. Step 6: Final answer
    x = 246,356.40

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