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Finding the Fourth Proportional to 413,719.30, 620,886.15 and 164,580.10

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Solution

The fourth proportional to 413,719.30, 620,886.15 and 164,580.10 is: 246,992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,719.30 : 620,886.15 = 164,580.10 : x
  2. Step 2: Convert to fraction form
    413,719.30/620,886.15 = 164,580.10/x
  3. Step 3: Cross multiply
    413,719.30x = 620,886.15 × 164,580.10
  4. Step 4: Simplify right side
    413,719.30x = 102,185,504,655.62
  5. Step 5: Solve for x
    x = 102,185,504,655.62/413,719.30
  6. Step 6: Final answer
    x = 246,992.36

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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.