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Finding the Fourth Proportional to 598,107, 825,384.82 and 329,835

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Solution

The fourth proportional to 598,107, 825,384.82 and 329,835 is: 455,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,107 : 825,384.82 = 329,835 : x
  2. Step 2: Convert to fraction form
    598,107/825,384.82 = 329,835/x
  3. Step 3: Cross multiply
    598,107x = 825,384.82 × 329,835
  4. Step 4: Simplify right side
    598,107x = 272,240,802,104.70
  5. Step 5: Solve for x
    x = 272,240,802,104.70/598,107
  6. Step 6: Final answer
    x = 455,170.73

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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.