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Finding the Fourth Proportional to 401,107.06, 601,582.83 and 151,808.50

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Solution

The fourth proportional to 401,107.06, 601,582.83 and 151,808.50 is: 227,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,107.06 : 601,582.83 = 151,808.50 : x
  2. Step 2: Convert to fraction form
    401,107.06/601,582.83 = 151,808.50/x
  3. Step 3: Cross multiply
    401,107.06x = 601,582.83 × 151,808.50
  4. Step 4: Simplify right side
    401,107.06x = 91,325,387,048.06
  5. Step 5: Solve for x
    x = 91,325,387,048.06/401,107.06
  6. Step 6: Final answer
    x = 227,683.32

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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.