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Finding the Fourth Proportional to 413,858.19, 620,656.05 and 177,137.31

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Solution

The fourth proportional to 413,858.19, 620,656.05 and 177,137.31 is: 265,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,858.19 : 620,656.05 = 177,137.31 : x
  2. Step 2: Convert to fraction form
    413,858.19/620,656.05 = 177,137.31/x
  3. Step 3: Cross multiply
    413,858.19x = 620,656.05 × 177,137.31
  4. Step 4: Simplify right side
    413,858.19x = 109,941,343,132.23
  5. Step 5: Solve for x
    x = 109,941,343,132.23/413,858.19
  6. Step 6: Final answer
    x = 265,649.79

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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.