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Finding the Fourth Proportional to 322,146.24, 482,998.88 and 164,068.80

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Solution

The fourth proportional to 322,146.24, 482,998.88 and 164,068.80 is: 245,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,146.24 : 482,998.88 = 164,068.80 : x
  2. Step 2: Convert to fraction form
    322,146.24/482,998.88 = 164,068.80/x
  3. Step 3: Cross multiply
    322,146.24x = 482,998.88 × 164,068.80
  4. Step 4: Simplify right side
    322,146.24x = 79,245,046,642.94
  5. Step 5: Solve for x
    x = 79,245,046,642.94/322,146.24
  6. Step 6: Final answer
    x = 245,990.91

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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.