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Finding the Fourth Proportional to 280,541.80, 419,775.90 and 255,658.60

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Solution

The fourth proportional to 280,541.80, 419,775.90 and 255,658.60 is: 382,543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,541.80 : 419,775.90 = 255,658.60 : x
  2. Step 2: Convert to fraction form
    280,541.80/419,775.90 = 255,658.60/x
  3. Step 3: Cross multiply
    280,541.80x = 419,775.90 × 255,658.60
  4. Step 4: Simplify right side
    280,541.80x = 107,319,318,907.74
  5. Step 5: Solve for x
    x = 107,319,318,907.74/280,541.80
  6. Step 6: Final answer
    x = 382,543.06

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1.5x scale

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.