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Finding the Fourth Proportional to 308,574.36, 462,557.91 and 180,327.87

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Solution

The fourth proportional to 308,574.36, 462,557.91 and 180,327.87 is: 270,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,574.36 : 462,557.91 = 180,327.87 : x
  2. Step 2: Convert to fraction form
    308,574.36/462,557.91 = 180,327.87/x
  3. Step 3: Cross multiply
    308,574.36x = 462,557.91 × 180,327.87
  4. Step 4: Simplify right side
    308,574.36x = 83,412,082,661.95
  5. Step 5: Solve for x
    x = 83,412,082,661.95/308,574.36
  6. Step 6: Final answer
    x = 270,314.37

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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.