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Finding the Fourth Proportional to 411,363.05, 616,968.90 and 186,669.45

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Solution

The fourth proportional to 411,363.05, 616,968.90 and 186,669.45 is: 279,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,363.05 : 616,968.90 = 186,669.45 : x
  2. Step 2: Convert to fraction form
    411,363.05/616,968.90 = 186,669.45/x
  3. Step 3: Cross multiply
    411,363.05x = 616,968.90 × 186,669.45
  4. Step 4: Simplify right side
    411,363.05x = 115,169,245,230.11
  5. Step 5: Solve for x
    x = 115,169,245,230.11/411,363.05
  6. Step 6: Final answer
    x = 279,969.84

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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.