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Finding the Fourth Proportional to 1,706,608.80, 2,556,226.80 and 1,411,696.80

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Solution

The fourth proportional to 1,706,608.80, 2,556,226.80 and 1,411,696.80 is: 2,114,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,608.80 : 2,556,226.80 = 1,411,696.80 : x
  2. Step 2: Convert to fraction form
    1,706,608.80/2,556,226.80 = 1,411,696.80/x
  3. Step 3: Cross multiply
    1,706,608.80x = 2,556,226.80 × 1,411,696.80
  4. Step 4: Simplify right side
    1,706,608.80x = 3,608,617,193,634.24
  5. Step 5: Solve for x
    x = 3,608,617,193,634.24/1,706,608.80
  6. Step 6: Final answer
    x = 2,114,495.83

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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.