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Finding the Fourth Proportional to 275,809.80, 413,714.70 and 256,126.80

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Solution

The fourth proportional to 275,809.80, 413,714.70 and 256,126.80 is: 384,190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,809.80 : 413,714.70 = 256,126.80 : x
  2. Step 2: Convert to fraction form
    275,809.80/413,714.70 = 256,126.80/x
  3. Step 3: Cross multiply
    275,809.80x = 413,714.70 × 256,126.80
  4. Step 4: Simplify right side
    275,809.80x = 105,963,422,223.96
  5. Step 5: Solve for x
    x = 105,963,422,223.96/275,809.80
  6. Step 6: Final answer
    x = 384,190.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.