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Finding the Fourth Proportional to 882,807.64, 1,324,343.22 and 409,540.84

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Solution

The fourth proportional to 882,807.64, 1,324,343.22 and 409,540.84 is: 614,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,807.64 : 1,324,343.22 = 409,540.84 : x
  2. Step 2: Convert to fraction form
    882,807.64/1,324,343.22 = 409,540.84/x
  3. Step 3: Cross multiply
    882,807.64x = 1,324,343.22 × 409,540.84
  4. Step 4: Simplify right side
    882,807.64x = 542,372,634,767.11
  5. Step 5: Solve for x
    x = 542,372,634,767.11/882,807.64
  6. Step 6: Final answer
    x = 614,372.38

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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.