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Finding the Fourth Proportional to 442,164.16, 610,186.56 and 240,960

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Solution

The fourth proportional to 442,164.16, 610,186.56 and 240,960 is: 332,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,164.16 : 610,186.56 = 240,960 : x
  2. Step 2: Convert to fraction form
    442,164.16/610,186.56 = 240,960/x
  3. Step 3: Cross multiply
    442,164.16x = 610,186.56 × 240,960
  4. Step 4: Simplify right side
    442,164.16x = 147,030,553,497.60
  5. Step 5: Solve for x
    x = 147,030,553,497.60/442,164.16
  6. Step 6: Final answer
    x = 332,524.81

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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.