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Finding the Fourth Proportional to 663,892.62, 994,157.28 and 411,665.74

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Solution

The fourth proportional to 663,892.62, 994,157.28 and 411,665.74 is: 616,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,892.62 : 994,157.28 = 411,665.74 : x
  2. Step 2: Convert to fraction form
    663,892.62/994,157.28 = 411,665.74/x
  3. Step 3: Cross multiply
    663,892.62x = 994,157.28 × 411,665.74
  4. Step 4: Simplify right side
    663,892.62x = 409,260,492,347.59
  5. Step 5: Solve for x
    x = 409,260,492,347.59/663,892.62
  6. Step 6: Final answer
    x = 616,455.85

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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.