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Finding the Fourth Proportional to 1,085,699, 1,628,558.94 and 411,599

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Solution

The fourth proportional to 1,085,699, 1,628,558.94 and 411,599 is: 617,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,699 : 1,628,558.94 = 411,599 : x
  2. Step 2: Convert to fraction form
    1,085,699/1,628,558.94 = 411,599/x
  3. Step 3: Cross multiply
    1,085,699x = 1,628,558.94 × 411,599
  4. Step 4: Simplify right side
    1,085,699x = 670,313,231,145.06
  5. Step 5: Solve for x
    x = 670,313,231,145.06/1,085,699
  6. Step 6: Final answer
    x = 617,402.46

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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.