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Finding the Fourth Proportional to 401,320.80, 601,981.20 and 381,637.80

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Solution

The fourth proportional to 401,320.80, 601,981.20 and 381,637.80 is: 572,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,320.80 : 601,981.20 = 381,637.80 : x
  2. Step 2: Convert to fraction form
    401,320.80/601,981.20 = 381,637.80/x
  3. Step 3: Cross multiply
    401,320.80x = 601,981.20 × 381,637.80
  4. Step 4: Simplify right side
    401,320.80x = 229,738,780,809.36
  5. Step 5: Solve for x
    x = 229,738,780,809.36/401,320.80
  6. Step 6: Final answer
    x = 572,456.70

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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.