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Finding the Fourth Proportional to 310,484.64, 465,579.54 and 141,954.96

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Solution

The fourth proportional to 310,484.64, 465,579.54 and 141,954.96 is: 212,865.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,484.64 : 465,579.54 = 141,954.96 : x
  2. Step 2: Convert to fraction form
    310,484.64/465,579.54 = 141,954.96/x
  3. Step 3: Cross multiply
    310,484.64x = 465,579.54 × 141,954.96
  4. Step 4: Simplify right side
    310,484.64x = 66,091,324,977.52
  5. Step 5: Solve for x
    x = 66,091,324,977.52/310,484.64
  6. Step 6: Final answer
    x = 212,865.04

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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.