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Finding the Fourth Proportional to 664,505.10, 997,741.80 and 514,914.30

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Solution

The fourth proportional to 664,505.10, 997,741.80 and 514,914.30 is: 773,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,505.10 : 997,741.80 = 514,914.30 : x
  2. Step 2: Convert to fraction form
    664,505.10/997,741.80 = 514,914.30/x
  3. Step 3: Cross multiply
    664,505.10x = 997,741.80 × 514,914.30
  4. Step 4: Simplify right side
    664,505.10x = 513,751,520,527.74
  5. Step 5: Solve for x
    x = 513,751,520,527.74/664,505.10
  6. Step 6: Final answer
    x = 773,134.05

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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.