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Finding the Fourth Proportional to 442,967.70, 664,451.55 and 265,383.30

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Solution

The fourth proportional to 442,967.70, 664,451.55 and 265,383.30 is: 398,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,967.70 : 664,451.55 = 265,383.30 : x
  2. Step 2: Convert to fraction form
    442,967.70/664,451.55 = 265,383.30/x
  3. Step 3: Cross multiply
    442,967.70x = 664,451.55 × 265,383.30
  4. Step 4: Simplify right side
    442,967.70x = 176,334,345,029.12
  5. Step 5: Solve for x
    x = 176,334,345,029.12/442,967.70
  6. Step 6: Final answer
    x = 398,074.95

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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.