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Finding the Fourth Proportional to 442,853.40, 663,405.30 and 264,831.60

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Solution

The fourth proportional to 442,853.40, 663,405.30 and 264,831.60 is: 396,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,853.40 : 663,405.30 = 264,831.60 : x
  2. Step 2: Convert to fraction form
    442,853.40/663,405.30 = 264,831.60/x
  3. Step 3: Cross multiply
    442,853.40x = 663,405.30 × 264,831.60
  4. Step 4: Simplify right side
    442,853.40x = 175,690,687,047.48
  5. Step 5: Solve for x
    x = 175,690,687,047.48/442,853.40
  6. Step 6: Final answer
    x = 396,724.26

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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.