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Finding the Fourth Proportional to 411,894.96, 617,723.10 and 123,694.98

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Solution

The fourth proportional to 411,894.96, 617,723.10 and 123,694.98 is: 185,506.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,894.96 : 617,723.10 = 123,694.98 : x
  2. Step 2: Convert to fraction form
    411,894.96/617,723.10 = 123,694.98/x
  3. Step 3: Cross multiply
    411,894.96x = 617,723.10 × 123,694.98
  4. Step 4: Simplify right side
    411,894.96x = 76,409,243,411.42
  5. Step 5: Solve for x
    x = 76,409,243,411.42/411,894.96
  6. Step 6: Final answer
    x = 185,506.62

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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.