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Finding the Fourth Proportional to 557,410.60, 836,115.90 and 470,805.40

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Solution

The fourth proportional to 557,410.60, 836,115.90 and 470,805.40 is: 706,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,410.60 : 836,115.90 = 470,805.40 : x
  2. Step 2: Convert to fraction form
    557,410.60/836,115.90 = 470,805.40/x
  3. Step 3: Cross multiply
    557,410.60x = 836,115.90 × 470,805.40
  4. Step 4: Simplify right side
    557,410.60x = 393,647,880,745.86
  5. Step 5: Solve for x
    x = 393,647,880,745.86/557,410.60
  6. Step 6: Final answer
    x = 706,208.10

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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.