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Finding the Fourth Proportional to 276,395.64, 414,629.94 and 96,484.31

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Solution

The fourth proportional to 276,395.64, 414,629.94 and 96,484.31 is: 144,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,395.64 : 414,629.94 = 96,484.31 : x
  2. Step 2: Convert to fraction form
    276,395.64/414,629.94 = 96,484.31/x
  3. Step 3: Cross multiply
    276,395.64x = 414,629.94 × 96,484.31
  4. Step 4: Simplify right side
    276,395.64x = 40,005,281,412.18
  5. Step 5: Solve for x
    x = 40,005,281,412.18/276,395.64
  6. Step 6: Final answer
    x = 144,739.19

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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.