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Finding the Fourth Proportional to 442,853.70, 664,280.55 and 265,269.30

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Solution

The fourth proportional to 442,853.70, 664,280.55 and 265,269.30 is: 397,903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,853.70 : 664,280.55 = 265,269.30 : x
  2. Step 2: Convert to fraction form
    442,853.70/664,280.55 = 265,269.30/x
  3. Step 3: Cross multiply
    442,853.70x = 664,280.55 × 265,269.30
  4. Step 4: Simplify right side
    442,853.70x = 176,213,236,502.12
  5. Step 5: Solve for x
    x = 176,213,236,502.12/442,853.70
  6. Step 6: Final answer
    x = 397,903.95

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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.