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Finding the Fourth Proportional to 576,842.44, 864,056.76 and 463,912.24

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Solution

The fourth proportional to 576,842.44, 864,056.76 and 463,912.24 is: 694,897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,842.44 : 864,056.76 = 463,912.24 : x
  2. Step 2: Convert to fraction form
    576,842.44/864,056.76 = 463,912.24/x
  3. Step 3: Cross multiply
    576,842.44x = 864,056.76 × 463,912.24
  4. Step 4: Simplify right side
    576,842.44x = 400,846,507,018.74
  5. Step 5: Solve for x
    x = 400,846,507,018.74/576,842.44
  6. Step 6: Final answer
    x = 694,897.74

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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.