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Finding the Fourth Proportional to 647,843, 893,967.30 and 418,410.30

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Solution

The fourth proportional to 647,843, 893,967.30 and 418,410.30 is: 577,370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,843 : 893,967.30 = 418,410.30 : x
  2. Step 2: Convert to fraction form
    647,843/893,967.30 = 418,410.30/x
  3. Step 3: Cross multiply
    647,843x = 893,967.30 × 418,410.30
  4. Step 4: Simplify right side
    647,843x = 374,045,126,183.19
  5. Step 5: Solve for x
    x = 374,045,126,183.19/647,843
  6. Step 6: Final answer
    x = 577,370.02

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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.