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Finding the Fourth Proportional to 485,314.08, 728,069.52 and 185,804.40

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Solution

The fourth proportional to 485,314.08, 728,069.52 and 185,804.40 is: 278,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,314.08 : 728,069.52 = 185,804.40 : x
  2. Step 2: Convert to fraction form
    485,314.08/728,069.52 = 185,804.40/x
  3. Step 3: Cross multiply
    485,314.08x = 728,069.52 × 185,804.40
  4. Step 4: Simplify right side
    485,314.08x = 135,278,520,321.89
  5. Step 5: Solve for x
    x = 135,278,520,321.89/485,314.08
  6. Step 6: Final answer
    x = 278,744.27

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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.