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Finding the Fourth Proportional to 605,756.97, 835,819.43 and 414,700.65

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Solution

The fourth proportional to 605,756.97, 835,819.43 and 414,700.65 is: 572,201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,756.97 : 835,819.43 = 414,700.65 : x
  2. Step 2: Convert to fraction form
    605,756.97/835,819.43 = 414,700.65/x
  3. Step 3: Cross multiply
    605,756.97x = 835,819.43 × 414,700.65
  4. Step 4: Simplify right side
    605,756.97x = 346,614,858,830.13
  5. Step 5: Solve for x
    x = 346,614,858,830.13/605,756.97
  6. Step 6: Final answer
    x = 572,201.19

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