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Finding the Fourth Proportional to 467,101.20, 700,651.80 and 463,164.60

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Solution

The fourth proportional to 467,101.20, 700,651.80 and 463,164.60 is: 694,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,101.20 : 700,651.80 = 463,164.60 : x
  2. Step 2: Convert to fraction form
    467,101.20/700,651.80 = 463,164.60/x
  3. Step 3: Cross multiply
    467,101.20x = 700,651.80 × 463,164.60
  4. Step 4: Simplify right side
    467,101.20x = 324,517,110,686.28
  5. Step 5: Solve for x
    x = 324,517,110,686.28/467,101.20
  6. Step 6: Final answer
    x = 694,746.90

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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.