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Finding the Fourth Proportional to 647,464.60, 971,196.90 and 513,620.20

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Solution

The fourth proportional to 647,464.60, 971,196.90 and 513,620.20 is: 770,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,464.60 : 971,196.90 = 513,620.20 : x
  2. Step 2: Convert to fraction form
    647,464.60/971,196.90 = 513,620.20/x
  3. Step 3: Cross multiply
    647,464.60x = 971,196.90 × 513,620.20
  4. Step 4: Simplify right side
    647,464.60x = 498,826,346,017.38
  5. Step 5: Solve for x
    x = 498,826,346,017.38/647,464.60
  6. Step 6: Final answer
    x = 770,430.30

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1.5x scale

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.