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Finding the Fourth Proportional to 400,956, 600,967.44 and 164,011.56

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Solution

The fourth proportional to 400,956, 600,967.44 and 164,011.56 is: 245,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,956 : 600,967.44 = 164,011.56 : x
  2. Step 2: Convert to fraction form
    400,956/600,967.44 = 164,011.56/x
  3. Step 3: Cross multiply
    400,956x = 600,967.44 × 164,011.56
  4. Step 4: Simplify right side
    400,956x = 98,565,607,343.61
  5. Step 5: Solve for x
    x = 98,565,607,343.61/400,956
  6. Step 6: Final answer
    x = 245,826.49

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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.