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Finding the Fourth Proportional to 283,472, 425,260.28 and 117,272.96

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Solution

The fourth proportional to 283,472, 425,260.28 and 117,272.96 is: 175,931.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,472 : 425,260.28 = 117,272.96 : x
  2. Step 2: Convert to fraction form
    283,472/425,260.28 = 117,272.96/x
  3. Step 3: Cross multiply
    283,472x = 425,260.28 × 117,272.96
  4. Step 4: Simplify right side
    283,472x = 49,871,531,806.03
  5. Step 5: Solve for x
    x = 49,871,531,806.03/283,472
  6. Step 6: Final answer
    x = 175,931.07

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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.