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Finding the Fourth Proportional to 401,006.12, 601,800.54 and 323,061.80

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Solution

The fourth proportional to 401,006.12, 601,800.54 and 323,061.80 is: 484,827.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,006.12 : 601,800.54 = 323,061.80 : x
  2. Step 2: Convert to fraction form
    401,006.12/601,800.54 = 323,061.80/x
  3. Step 3: Cross multiply
    401,006.12x = 601,800.54 × 323,061.80
  4. Step 4: Simplify right side
    401,006.12x = 194,418,765,693.37
  5. Step 5: Solve for x
    x = 194,418,765,693.37/401,006.12
  6. Step 6: Final answer
    x = 484,827.43

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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.