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Finding the Fourth Proportional to 464,442, 696,080.16 and 251,201.40

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Solution

The fourth proportional to 464,442, 696,080.16 and 251,201.40 is: 376,486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,442 : 696,080.16 = 251,201.40 : x
  2. Step 2: Convert to fraction form
    464,442/696,080.16 = 251,201.40/x
  3. Step 3: Cross multiply
    464,442x = 696,080.16 × 251,201.40
  4. Step 4: Simplify right side
    464,442x = 174,856,310,704.22
  5. Step 5: Solve for x
    x = 174,856,310,704.22/464,442
  6. Step 6: Final answer
    x = 376,486.86

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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.