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Finding the Fourth Proportional to 309,139.28, 462,345.96 and 269,114.48

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Solution

The fourth proportional to 309,139.28, 462,345.96 and 269,114.48 is: 402,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,139.28 : 462,345.96 = 269,114.48 : x
  2. Step 2: Convert to fraction form
    309,139.28/462,345.96 = 269,114.48/x
  3. Step 3: Cross multiply
    309,139.28x = 462,345.96 × 269,114.48
  4. Step 4: Simplify right side
    309,139.28x = 124,423,992,605.50
  5. Step 5: Solve for x
    x = 124,423,992,605.50/309,139.28
  6. Step 6: Final answer
    x = 402,485.22

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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.