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Finding the Fourth Proportional to 401,321.58, 601,933.14 and 232,933.50

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Solution

The fourth proportional to 401,321.58, 601,933.14 and 232,933.50 is: 349,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,321.58 : 601,933.14 = 232,933.50 : x
  2. Step 2: Convert to fraction form
    401,321.58/601,933.14 = 232,933.50/x
  3. Step 3: Cross multiply
    401,321.58x = 601,933.14 × 232,933.50
  4. Step 4: Simplify right side
    401,321.58x = 140,210,393,066.19
  5. Step 5: Solve for x
    x = 140,210,393,066.19/401,321.58
  6. Step 6: Final answer
    x = 349,371.68

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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.