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Finding the Fourth Proportional to 442,173.16, 610,198.98 and 240,969

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Solution

The fourth proportional to 442,173.16, 610,198.98 and 240,969 is: 332,537.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,173.16 : 610,198.98 = 240,969 : x
  2. Step 2: Convert to fraction form
    442,173.16/610,198.98 = 240,969/x
  3. Step 3: Cross multiply
    442,173.16x = 610,198.98 × 240,969
  4. Step 4: Simplify right side
    442,173.16x = 147,039,038,011.62
  5. Step 5: Solve for x
    x = 147,039,038,011.62/442,173.16
  6. Step 6: Final answer
    x = 332,537.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.