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Finding the Fourth Proportional to 505,884.60, 760,139.10 and 448,147.80

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Solution

The fourth proportional to 505,884.60, 760,139.10 and 448,147.80 is: 673,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,884.60 : 760,139.10 = 448,147.80 : x
  2. Step 2: Convert to fraction form
    505,884.60/760,139.10 = 448,147.80/x
  3. Step 3: Cross multiply
    505,884.60x = 760,139.10 × 448,147.80
  4. Step 4: Simplify right side
    505,884.60x = 340,654,665,358.98
  5. Step 5: Solve for x
    x = 340,654,665,358.98/505,884.60
  6. Step 6: Final answer
    x = 673,384.14

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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.