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Finding the Fourth Proportional to 551,464.80, 826,322.40 and 364,257.60

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Solution

The fourth proportional to 551,464.80, 826,322.40 and 364,257.60 is: 545,808.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,464.80 : 826,322.40 = 364,257.60 : x
  2. Step 2: Convert to fraction form
    551,464.80/826,322.40 = 364,257.60/x
  3. Step 3: Cross multiply
    551,464.80x = 826,322.40 × 364,257.60
  4. Step 4: Simplify right side
    551,464.80x = 300,994,214,250.24
  5. Step 5: Solve for x
    x = 300,994,214,250.24/551,464.80
  6. Step 6: Final answer
    x = 545,808.57

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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.