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Finding the Fourth Proportional to 433,280.80, 650,305.20 and 255,565.60

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Solution

The fourth proportional to 433,280.80, 650,305.20 and 255,565.60 is: 383,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,280.80 : 650,305.20 = 255,565.60 : x
  2. Step 2: Convert to fraction form
    433,280.80/650,305.20 = 255,565.60/x
  3. Step 3: Cross multiply
    433,280.80x = 650,305.20 × 255,565.60
  4. Step 4: Simplify right side
    433,280.80x = 166,195,638,621.12
  5. Step 5: Solve for x
    x = 166,195,638,621.12/433,280.80
  6. Step 6: Final answer
    x = 383,574.90

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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.