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Finding the Fourth Proportional to 442,993.80, 664,490.70 and 265,409.40

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Solution

The fourth proportional to 442,993.80, 664,490.70 and 265,409.40 is: 398,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,993.80 : 664,490.70 = 265,409.40 : x
  2. Step 2: Convert to fraction form
    442,993.80/664,490.70 = 265,409.40/x
  3. Step 3: Cross multiply
    442,993.80x = 664,490.70 × 265,409.40
  4. Step 4: Simplify right side
    442,993.80x = 176,362,077,992.58
  5. Step 5: Solve for x
    x = 176,362,077,992.58/442,993.80
  6. Step 6: Final answer
    x = 398,114.10

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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.