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Finding the Fourth Proportional to 280,201.60, 420,302.40 and 258,550.30

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Solution

The fourth proportional to 280,201.60, 420,302.40 and 258,550.30 is: 387,825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,201.60 : 420,302.40 = 258,550.30 : x
  2. Step 2: Convert to fraction form
    280,201.60/420,302.40 = 258,550.30/x
  3. Step 3: Cross multiply
    280,201.60x = 420,302.40 × 258,550.30
  4. Step 4: Simplify right side
    280,201.60x = 108,669,311,610.72
  5. Step 5: Solve for x
    x = 108,669,311,610.72/280,201.60
  6. Step 6: Final answer
    x = 387,825.45

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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.