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Finding the Fourth Proportional to 411,166.68, 616,983.30 and 162,023.64

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Solution

The fourth proportional to 411,166.68, 616,983.30 and 162,023.64 is: 243,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,166.68 : 616,983.30 = 162,023.64 : x
  2. Step 2: Convert to fraction form
    411,166.68/616,983.30 = 162,023.64/x
  3. Step 3: Cross multiply
    411,166.68x = 616,983.30 × 162,023.64
  4. Step 4: Simplify right side
    411,166.68x = 99,965,880,085.21
  5. Step 5: Solve for x
    x = 99,965,880,085.21/411,166.68
  6. Step 6: Final answer
    x = 243,127.39

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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.