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Finding the Fourth Proportional to 207,647.10, 311,470.65 and 207,647.10

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Solution

The fourth proportional to 207,647.10, 311,470.65 and 207,647.10 is: 311,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,647.10 : 311,470.65 = 207,647.10 : x
  2. Step 2: Convert to fraction form
    207,647.10/311,470.65 = 207,647.10/x
  3. Step 3: Cross multiply
    207,647.10x = 311,470.65 × 207,647.10
  4. Step 4: Simplify right side
    207,647.10x = 64,675,977,207.62
  5. Step 5: Solve for x
    x = 64,675,977,207.62/207,647.10
  6. Step 6: Final answer
    x = 311,470.65

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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.