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Finding the Fourth Proportional to 467,066.60, 699,563.10 and 384,122.60

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Solution

The fourth proportional to 467,066.60, 699,563.10 and 384,122.60 is: 575,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,066.60 : 699,563.10 = 384,122.60 : x
  2. Step 2: Convert to fraction form
    467,066.60/699,563.10 = 384,122.60/x
  3. Step 3: Cross multiply
    467,066.60x = 699,563.10 × 384,122.60
  4. Step 4: Simplify right side
    467,066.60x = 268,717,996,836.06
  5. Step 5: Solve for x
    x = 268,717,996,836.06/467,066.60
  6. Step 6: Final answer
    x = 575,331.22

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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.