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Finding the Fourth Proportional to 854,468.64, 1,280,696.64 and 348,714

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Solution

The fourth proportional to 854,468.64, 1,280,696.64 and 348,714 is: 522,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,468.64 : 1,280,696.64 = 348,714 : x
  2. Step 2: Convert to fraction form
    854,468.64/1,280,696.64 = 348,714/x
  3. Step 3: Cross multiply
    854,468.64x = 1,280,696.64 × 348,714
  4. Step 4: Simplify right side
    854,468.64x = 446,596,848,120.96
  5. Step 5: Solve for x
    x = 446,596,848,120.96/854,468.64
  6. Step 6: Final answer
    x = 522,660.31

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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.