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Finding the Fourth Proportional to 442,809.78, 611,077.14 and 241,605.78

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Solution

The fourth proportional to 442,809.78, 611,077.14 and 241,605.78 is: 333,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,809.78 : 611,077.14 = 241,605.78 : x
  2. Step 2: Convert to fraction form
    442,809.78/611,077.14 = 241,605.78/x
  3. Step 3: Cross multiply
    442,809.78x = 611,077.14 × 241,605.78
  4. Step 4: Simplify right side
    442,809.78x = 147,639,769,049.87
  5. Step 5: Solve for x
    x = 147,639,769,049.87/442,809.78
  6. Step 6: Final answer
    x = 333,415.78

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1.5x scale

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.