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Finding the Fourth Proportional to 469,849.20, 704,773.80 and 270,783.60

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Solution

The fourth proportional to 469,849.20, 704,773.80 and 270,783.60 is: 406,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,849.20 : 704,773.80 = 270,783.60 : x
  2. Step 2: Convert to fraction form
    469,849.20/704,773.80 = 270,783.60/x
  3. Step 3: Cross multiply
    469,849.20x = 704,773.80 × 270,783.60
  4. Step 4: Simplify right side
    469,849.20x = 190,841,186,749.68
  5. Step 5: Solve for x
    x = 190,841,186,749.68/469,849.20
  6. Step 6: Final answer
    x = 406,175.40

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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.