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Finding the Fourth Proportional to 469,567.92, 647,909.20 and 297,553.08

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Solution

The fourth proportional to 469,567.92, 647,909.20 and 297,553.08 is: 410,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,567.92 : 647,909.20 = 297,553.08 : x
  2. Step 2: Convert to fraction form
    469,567.92/647,909.20 = 297,553.08/x
  3. Step 3: Cross multiply
    469,567.92x = 647,909.20 × 297,553.08
  4. Step 4: Simplify right side
    469,567.92x = 192,787,378,020.34
  5. Step 5: Solve for x
    x = 192,787,378,020.34/469,567.92
  6. Step 6: Final answer
    x = 410,563.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.