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Finding the Fourth Proportional to 311,228.83, 466,676.16 and 97,956.82

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Solution

The fourth proportional to 311,228.83, 466,676.16 and 97,956.82 is: 146,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,228.83 : 466,676.16 = 97,956.82 : x
  2. Step 2: Convert to fraction form
    311,228.83/466,676.16 = 97,956.82/x
  3. Step 3: Cross multiply
    311,228.83x = 466,676.16 × 97,956.82
  4. Step 4: Simplify right side
    311,228.83x = 45,714,112,603.41
  5. Step 5: Solve for x
    x = 45,714,112,603.41/311,228.83
  6. Step 6: Final answer
    x = 146,882.64

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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.