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Finding the Fourth Proportional to 472,300.20, 709,832.70 and 411,474.60

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Solution

The fourth proportional to 472,300.20, 709,832.70 and 411,474.60 is: 618,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,300.20 : 709,832.70 = 411,474.60 : x
  2. Step 2: Convert to fraction form
    472,300.20/709,832.70 = 411,474.60/x
  3. Step 3: Cross multiply
    472,300.20x = 709,832.70 × 411,474.60
  4. Step 4: Simplify right side
    472,300.20x = 292,078,126,299.42
  5. Step 5: Solve for x
    x = 292,078,126,299.42/472,300.20
  6. Step 6: Final answer
    x = 618,416.27

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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.