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Finding the Fourth Proportional to 458,530.80, 687,796.20 and 451,532.40

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Solution

The fourth proportional to 458,530.80, 687,796.20 and 451,532.40 is: 677,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,530.80 : 687,796.20 = 451,532.40 : x
  2. Step 2: Convert to fraction form
    458,530.80/687,796.20 = 451,532.40/x
  3. Step 3: Cross multiply
    458,530.80x = 687,796.20 × 451,532.40
  4. Step 4: Simplify right side
    458,530.80x = 310,562,268,896.88
  5. Step 5: Solve for x
    x = 310,562,268,896.88/458,530.80
  6. Step 6: Final answer
    x = 677,298.60

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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.