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Finding the Fourth Proportional to 401,025.97, 601,539.41 and 120,543.22

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Solution

The fourth proportional to 401,025.97, 601,539.41 and 120,543.22 is: 180,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,025.97 : 601,539.41 = 120,543.22 : x
  2. Step 2: Convert to fraction form
    401,025.97/601,539.41 = 120,543.22/x
  3. Step 3: Cross multiply
    401,025.97x = 601,539.41 × 120,543.22
  4. Step 4: Simplify right side
    401,025.97x = 72,511,495,331.74
  5. Step 5: Solve for x
    x = 72,511,495,331.74/401,025.97
  6. Step 6: Final answer
    x = 180,814.96

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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.