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Finding the Fourth Proportional to 411,164.68, 616,980.30 and 162,021.64

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Solution

The fourth proportional to 411,164.68, 616,980.30 and 162,021.64 is: 243,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,164.68 : 616,980.30 = 162,021.64 : x
  2. Step 2: Convert to fraction form
    411,164.68/616,980.30 = 162,021.64/x
  3. Step 3: Cross multiply
    411,164.68x = 616,980.30 × 162,021.64
  4. Step 4: Simplify right side
    411,164.68x = 99,964,160,053.69
  5. Step 5: Solve for x
    x = 99,964,160,053.69/411,164.68
  6. Step 6: Final answer
    x = 243,124.39

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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.