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Finding the Fourth Proportional to 1,099,982, 1,518,034.92 and 616,702.16

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Solution

The fourth proportional to 1,099,982, 1,518,034.92 and 616,702.16 is: 851,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,982 : 1,518,034.92 = 616,702.16 : x
  2. Step 2: Convert to fraction form
    1,099,982/1,518,034.92 = 616,702.16/x
  3. Step 3: Cross multiply
    1,099,982x = 1,518,034.92 × 616,702.16
  4. Step 4: Simplify right side
    1,099,982x = 936,175,414,119.43
  5. Step 5: Solve for x
    x = 936,175,414,119.43/1,099,982
  6. Step 6: Final answer
    x = 851,082.49

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Why These Related Problems?

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