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Finding the Fourth Proportional to 401,320.08, 601,930.89 and 232,932

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Solution

The fourth proportional to 401,320.08, 601,930.89 and 232,932 is: 349,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,320.08 : 601,930.89 = 232,932 : x
  2. Step 2: Convert to fraction form
    401,320.08/601,930.89 = 232,932/x
  3. Step 3: Cross multiply
    401,320.08x = 601,930.89 × 232,932
  4. Step 4: Simplify right side
    401,320.08x = 140,208,966,069.48
  5. Step 5: Solve for x
    x = 140,208,966,069.48/401,320.08
  6. Step 6: Final answer
    x = 349,369.43

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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.