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Finding the Fourth Proportional to 664,515.10, 997,756.80 and 514,924.30

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Solution

The fourth proportional to 664,515.10, 997,756.80 and 514,924.30 is: 773,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,515.10 : 997,756.80 = 514,924.30 : x
  2. Step 2: Convert to fraction form
    664,515.10/997,756.80 = 514,924.30/x
  3. Step 3: Cross multiply
    664,515.10x = 997,756.80 × 514,924.30
  4. Step 4: Simplify right side
    664,515.10x = 513,769,221,810.24
  5. Step 5: Solve for x
    x = 513,769,221,810.24/664,515.10
  6. Step 6: Final answer
    x = 773,149.06

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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.