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Finding the Fourth Proportional to 564,026.30, 846,311.00 and 264,458.33

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Solution

The fourth proportional to 564,026.30, 846,311.00 and 264,458.33 is: 396,814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,026.30 : 846,311.00 = 264,458.33 : x
  2. Step 2: Convert to fraction form
    564,026.30/846,311.00 = 264,458.33/x
  3. Step 3: Cross multiply
    564,026.30x = 846,311.00 × 264,458.33
  4. Step 4: Simplify right side
    564,026.30x = 223,813,988,166.78
  5. Step 5: Solve for x
    x = 223,813,988,166.78/564,026.30
  6. Step 6: Final answer
    x = 396,814.81

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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.