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Finding the Fourth Proportional to 413,540.30, 570,809.38 and 241,504.68

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Solution

The fourth proportional to 413,540.30, 570,809.38 and 241,504.68 is: 333,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,540.30 : 570,809.38 = 241,504.68 : x
  2. Step 2: Convert to fraction form
    413,540.30/570,809.38 = 241,504.68/x
  3. Step 3: Cross multiply
    413,540.30x = 570,809.38 × 241,504.68
  4. Step 4: Simplify right side
    413,540.30x = 137,853,136,657.90
  5. Step 5: Solve for x
    x = 137,853,136,657.90/413,540.30
  6. Step 6: Final answer
    x = 333,348.74

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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.