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Finding the Fourth Proportional to 873,714, 1,205,754.48 and 534,116.64

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Solution

The fourth proportional to 873,714, 1,205,754.48 and 534,116.64 is: 737,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,714 : 1,205,754.48 = 534,116.64 : x
  2. Step 2: Convert to fraction form
    873,714/1,205,754.48 = 534,116.64/x
  3. Step 3: Cross multiply
    873,714x = 1,205,754.48 × 534,116.64
  4. Step 4: Simplify right side
    873,714x = 644,013,531,522.55
  5. Step 5: Solve for x
    x = 644,013,531,522.55/873,714
  6. Step 6: Final answer
    x = 737,098.79

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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.