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Finding the Fourth Proportional to 778,412.04, 1,074,208.14 and 420,716.04

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Solution

The fourth proportional to 778,412.04, 1,074,208.14 and 420,716.04 is: 580,587.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,412.04 : 1,074,208.14 = 420,716.04 : x
  2. Step 2: Convert to fraction form
    778,412.04/1,074,208.14 = 420,716.04/x
  3. Step 3: Cross multiply
    778,412.04x = 1,074,208.14 × 420,716.04
  4. Step 4: Simplify right side
    778,412.04x = 451,936,594,796.57
  5. Step 5: Solve for x
    x = 451,936,594,796.57/778,412.04
  6. Step 6: Final answer
    x = 580,587.88

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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.