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Finding the Fourth Proportional to 608,810.65, 840,101.49 and 412,177.14

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Solution

The fourth proportional to 608,810.65, 840,101.49 and 412,177.14 is: 568,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,810.65 : 840,101.49 = 412,177.14 : x
  2. Step 2: Convert to fraction form
    608,810.65/840,101.49 = 412,177.14/x
  3. Step 3: Cross multiply
    608,810.65x = 840,101.49 × 412,177.14
  4. Step 4: Simplify right side
    608,810.65x = 346,270,629,457.94
  5. Step 5: Solve for x
    x = 346,270,629,457.94/608,810.65
  6. Step 6: Final answer
    x = 568,765.73

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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.