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Finding the Fourth Proportional to 286,742.56, 395,682.32 and 159,410.40

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Solution

The fourth proportional to 286,742.56, 395,682.32 and 159,410.40 is: 219,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,742.56 : 395,682.32 = 159,410.40 : x
  2. Step 2: Convert to fraction form
    286,742.56/395,682.32 = 159,410.40/x
  3. Step 3: Cross multiply
    286,742.56x = 395,682.32 × 159,410.40
  4. Step 4: Simplify right side
    286,742.56x = 63,075,876,904.13
  5. Step 5: Solve for x
    x = 63,075,876,904.13/286,742.56
  6. Step 6: Final answer
    x = 219,973.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.