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Finding the Fourth Proportional to 663,775, 916,078.62 and 409,119.64

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Solution

The fourth proportional to 663,775, 916,078.62 and 409,119.64 is: 564,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,775 : 916,078.62 = 409,119.64 : x
  2. Step 2: Convert to fraction form
    663,775/916,078.62 = 409,119.64/x
  3. Step 3: Cross multiply
    663,775x = 916,078.62 × 409,119.64
  4. Step 4: Simplify right side
    663,775x = 374,785,755,226.10
  5. Step 5: Solve for x
    x = 374,785,755,226.10/663,775
  6. Step 6: Final answer
    x = 564,627.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.