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Finding the Fourth Proportional to 411,296.40, 617,866.20 and 394,502.80

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Solution

The fourth proportional to 411,296.40, 617,866.20 and 394,502.80 is: 592,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,296.40 : 617,866.20 = 394,502.80 : x
  2. Step 2: Convert to fraction form
    411,296.40/617,866.20 = 394,502.80/x
  3. Step 3: Cross multiply
    411,296.40x = 617,866.20 × 394,502.80
  4. Step 4: Simplify right side
    411,296.40x = 243,749,945,925.36
  5. Step 5: Solve for x
    x = 243,749,945,925.36/411,296.40
  6. Step 6: Final answer
    x = 592,638.17

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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.