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Finding the Fourth Proportional to 310,269.36, 465,378 and 123,230.64

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Solution

The fourth proportional to 310,269.36, 465,378 and 123,230.64 is: 184,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,269.36 : 465,378 = 123,230.64 : x
  2. Step 2: Convert to fraction form
    310,269.36/465,378 = 123,230.64/x
  3. Step 3: Cross multiply
    310,269.36x = 465,378 × 123,230.64
  4. Step 4: Simplify right side
    310,269.36x = 57,348,828,781.92
  5. Step 5: Solve for x
    x = 57,348,828,781.92/310,269.36
  6. Step 6: Final answer
    x = 184,835.62

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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.