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Finding the Fourth Proportional to 322,062.40, 482,704.80 and 164,209.60

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Solution

The fourth proportional to 322,062.40, 482,704.80 and 164,209.60 is: 246,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,062.40 : 482,704.80 = 164,209.60 : x
  2. Step 2: Convert to fraction form
    322,062.40/482,704.80 = 164,209.60/x
  3. Step 3: Cross multiply
    322,062.40x = 482,704.80 × 164,209.60
  4. Step 4: Simplify right side
    322,062.40x = 79,264,762,126.08
  5. Step 5: Solve for x
    x = 79,264,762,126.08/322,062.40
  6. Step 6: Final answer
    x = 246,116.16

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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.