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Finding the Fourth Proportional to 564,353.63, 846,807.21 and 264,858.56

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Solution

The fourth proportional to 564,353.63, 846,807.21 and 264,858.56 is: 397,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,353.63 : 846,807.21 = 264,858.56 : x
  2. Step 2: Convert to fraction form
    564,353.63/846,807.21 = 264,858.56/x
  3. Step 3: Cross multiply
    564,353.63x = 846,807.21 × 264,858.56
  4. Step 4: Simplify right side
    564,353.63x = 224,284,137,179.71
  5. Step 5: Solve for x
    x = 224,284,137,179.71/564,353.63
  6. Step 6: Final answer
    x = 397,417.73

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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.