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Finding the Fourth Proportional to 514,620.86, 771,933.14 and 364,406.76

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Solution

The fourth proportional to 514,620.86, 771,933.14 and 364,406.76 is: 546,611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,620.86 : 771,933.14 = 364,406.76 : x
  2. Step 2: Convert to fraction form
    514,620.86/771,933.14 = 364,406.76/x
  3. Step 3: Cross multiply
    514,620.86x = 771,933.14 × 364,406.76
  4. Step 4: Simplify right side
    514,620.86x = 281,297,657,324.88
  5. Step 5: Solve for x
    x = 281,297,657,324.88/514,620.86
  6. Step 6: Final answer
    x = 546,611.46

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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.