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Finding the Fourth Proportional to 1,085,698, 1,628,557.44 and 411,598

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Solution

The fourth proportional to 1,085,698, 1,628,557.44 and 411,598 is: 617,400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,698 : 1,628,557.44 = 411,598 : x
  2. Step 2: Convert to fraction form
    1,085,698/1,628,557.44 = 411,598/x
  3. Step 3: Cross multiply
    1,085,698x = 1,628,557.44 × 411,598
  4. Step 4: Simplify right side
    1,085,698x = 670,310,985,189.12
  5. Step 5: Solve for x
    x = 670,310,985,189.12/1,085,698
  6. Step 6: Final answer
    x = 617,400.96

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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.