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Finding the Fourth Proportional to 411,256.40, 617,806.20 and 394,462.80

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Solution

The fourth proportional to 411,256.40, 617,806.20 and 394,462.80 is: 592,578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,256.40 : 617,806.20 = 394,462.80 : x
  2. Step 2: Convert to fraction form
    411,256.40/617,806.20 = 394,462.80/x
  3. Step 3: Cross multiply
    411,256.40x = 617,806.20 × 394,462.80
  4. Step 4: Simplify right side
    411,256.40x = 243,701,563,509.36
  5. Step 5: Solve for x
    x = 243,701,563,509.36/411,256.40
  6. Step 6: Final answer
    x = 592,578.17

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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.