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Finding the Fourth Proportional to 403,741.80, 605,701.40 and 119,410.19

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Solution

The fourth proportional to 403,741.80, 605,701.40 and 119,410.19 is: 179,141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,741.80 : 605,701.40 = 119,410.19 : x
  2. Step 2: Convert to fraction form
    403,741.80/605,701.40 = 119,410.19/x
  3. Step 3: Cross multiply
    403,741.80x = 605,701.40 × 119,410.19
  4. Step 4: Simplify right side
    403,741.80x = 72,326,917,051.32
  5. Step 5: Solve for x
    x = 72,326,917,051.32/403,741.80
  6. Step 6: Final answer
    x = 179,141.51

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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.