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Finding the Fourth Proportional to 653,543.10, 980,314.65 and 210,311.10

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Solution

The fourth proportional to 653,543.10, 980,314.65 and 210,311.10 is: 315,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,543.10 : 980,314.65 = 210,311.10 : x
  2. Step 2: Convert to fraction form
    653,543.10/980,314.65 = 210,311.10/x
  3. Step 3: Cross multiply
    653,543.10x = 980,314.65 × 210,311.10
  4. Step 4: Simplify right side
    653,543.10x = 206,171,052,387.62
  5. Step 5: Solve for x
    x = 206,171,052,387.62/653,543.10
  6. Step 6: Final answer
    x = 315,466.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.