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Finding the Fourth Proportional to 408,527.10, 612,099.45 and 197,711.10

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Solution

The fourth proportional to 408,527.10, 612,099.45 and 197,711.10 is: 296,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,527.10 : 612,099.45 = 197,711.10 : x
  2. Step 2: Convert to fraction form
    408,527.10/612,099.45 = 197,711.10/x
  3. Step 3: Cross multiply
    408,527.10x = 612,099.45 × 197,711.10
  4. Step 4: Simplify right side
    408,527.10x = 121,018,855,568.90
  5. Step 5: Solve for x
    x = 121,018,855,568.90/408,527.10
  6. Step 6: Final answer
    x = 296,232.14

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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.