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Finding the Fourth Proportional to 207,624.30, 311,436.45 and 197,256.30

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Solution

The fourth proportional to 207,624.30, 311,436.45 and 197,256.30 is: 295,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,624.30 : 311,436.45 = 197,256.30 : x
  2. Step 2: Convert to fraction form
    207,624.30/311,436.45 = 197,256.30/x
  3. Step 3: Cross multiply
    207,624.30x = 311,436.45 × 197,256.30
  4. Step 4: Simplify right side
    207,624.30x = 61,432,801,812.14
  5. Step 5: Solve for x
    x = 61,432,801,812.14/207,624.30
  6. Step 6: Final answer
    x = 295,884.45

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1.5x scale

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.