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Finding the Fourth Proportional to 442,004.52, 609,965.82 and 240,800.52

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Solution

The fourth proportional to 442,004.52, 609,965.82 and 240,800.52 is: 332,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,004.52 : 609,965.82 = 240,800.52 : x
  2. Step 2: Convert to fraction form
    442,004.52/609,965.82 = 240,800.52/x
  3. Step 3: Cross multiply
    442,004.52x = 609,965.82 × 240,800.52
  4. Step 4: Simplify right side
    442,004.52x = 146,880,086,638.23
  5. Step 5: Solve for x
    x = 146,880,086,638.23/442,004.52
  6. Step 6: Final answer
    x = 332,304.49

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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.