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Finding the Fourth Proportional to 344,134.84, 516,176.72 and 144,447.16

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Solution

The fourth proportional to 344,134.84, 516,176.72 and 144,447.16 is: 216,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,134.84 : 516,176.72 = 144,447.16 : x
  2. Step 2: Convert to fraction form
    344,134.84/516,176.72 = 144,447.16/x
  3. Step 3: Cross multiply
    344,134.84x = 516,176.72 × 144,447.16
  4. Step 4: Simplify right side
    344,134.84x = 74,560,261,262.12
  5. Step 5: Solve for x
    x = 74,560,261,262.12/344,134.84
  6. Step 6: Final answer
    x = 216,660.02

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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.