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Finding the Fourth Proportional to 464,674.92, 697,038.30 and 132,225

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Solution

The fourth proportional to 464,674.92, 697,038.30 and 132,225 is: 198,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,674.92 : 697,038.30 = 132,225 : x
  2. Step 2: Convert to fraction form
    464,674.92/697,038.30 = 132,225/x
  3. Step 3: Cross multiply
    464,674.92x = 697,038.30 × 132,225
  4. Step 4: Simplify right side
    464,674.92x = 92,165,889,217.50
  5. Step 5: Solve for x
    x = 92,165,889,217.50/464,674.92
  6. Step 6: Final answer
    x = 198,344.88

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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.