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Finding the Fourth Proportional to 401,006.92, 601,538.06 and 116,699.83

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Solution

The fourth proportional to 401,006.92, 601,538.06 and 116,699.83 is: 175,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,006.92 : 601,538.06 = 116,699.83 : x
  2. Step 2: Convert to fraction form
    401,006.92/601,538.06 = 116,699.83/x
  3. Step 3: Cross multiply
    401,006.92x = 601,538.06 × 116,699.83
  4. Step 4: Simplify right side
    401,006.92x = 70,199,389,340.53
  5. Step 5: Solve for x
    x = 70,199,389,340.53/401,006.92
  6. Step 6: Final answer
    x = 175,057.80

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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.