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Finding the Fourth Proportional to 401,005.92, 601,536.56 and 116,698.83

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Solution

The fourth proportional to 401,005.92, 601,536.56 and 116,698.83 is: 175,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,005.92 : 601,536.56 = 116,698.83 : x
  2. Step 2: Convert to fraction form
    401,005.92/601,536.56 = 116,698.83/x
  3. Step 3: Cross multiply
    401,005.92x = 601,536.56 × 116,698.83
  4. Step 4: Simplify right side
    401,005.92x = 70,198,612,754.22
  5. Step 5: Solve for x
    x = 70,198,612,754.22/401,005.92
  6. Step 6: Final answer
    x = 175,056.30

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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.