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Finding the Fourth Proportional to 431,333.80, 647,000.70 and 411,980.20

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Solution

The fourth proportional to 431,333.80, 647,000.70 and 411,980.20 is: 617,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,333.80 : 647,000.70 = 411,980.20 : x
  2. Step 2: Convert to fraction form
    431,333.80/647,000.70 = 411,980.20/x
  3. Step 3: Cross multiply
    431,333.80x = 647,000.70 × 411,980.20
  4. Step 4: Simplify right side
    431,333.80x = 266,551,477,786.14
  5. Step 5: Solve for x
    x = 266,551,477,786.14/431,333.80
  6. Step 6: Final answer
    x = 617,970.30

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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.