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Finding the Fourth Proportional to 413,259.84, 570,278.88 and 231,949.44

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Solution

The fourth proportional to 413,259.84, 570,278.88 and 231,949.44 is: 320,079.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,259.84 : 570,278.88 = 231,949.44 : x
  2. Step 2: Convert to fraction form
    413,259.84/570,278.88 = 231,949.44/x
  3. Step 3: Cross multiply
    413,259.84x = 570,278.88 × 231,949.44
  4. Step 4: Simplify right side
    413,259.84x = 132,275,866,859.83
  5. Step 5: Solve for x
    x = 132,275,866,859.83/413,259.84
  6. Step 6: Final answer
    x = 320,079.17

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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.