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Finding the Fourth Proportional to 656,586.68, 906,511.32 and 411,906.90

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Solution

The fourth proportional to 656,586.68, 906,511.32 and 411,906.90 is: 568,696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,586.68 : 906,511.32 = 411,906.90 : x
  2. Step 2: Convert to fraction form
    656,586.68/906,511.32 = 411,906.90/x
  3. Step 3: Cross multiply
    656,586.68x = 906,511.32 × 411,906.90
  4. Step 4: Simplify right side
    656,586.68x = 373,398,267,636.11
  5. Step 5: Solve for x
    x = 373,398,267,636.11/656,586.68
  6. Step 6: Final answer
    x = 568,696.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.