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Finding the Fourth Proportional to 647,468.60, 971,202.90 and 513,624.20

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Solution

The fourth proportional to 647,468.60, 971,202.90 and 513,624.20 is: 770,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,468.60 : 971,202.90 = 513,624.20 : x
  2. Step 2: Convert to fraction form
    647,468.60/971,202.90 = 513,624.20/x
  3. Step 3: Cross multiply
    647,468.60x = 971,202.90 × 513,624.20
  4. Step 4: Simplify right side
    647,468.60x = 498,833,312,550.18
  5. Step 5: Solve for x
    x = 498,833,312,550.18/647,468.60
  6. Step 6: Final answer
    x = 770,436.30

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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.