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Finding the Fourth Proportional to 778,412.79, 1,074,209.18 and 420,716.79

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Solution

The fourth proportional to 778,412.79, 1,074,209.18 and 420,716.79 is: 580,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,412.79 : 1,074,209.18 = 420,716.79 : x
  2. Step 2: Convert to fraction form
    778,412.79/1,074,209.18 = 420,716.79/x
  3. Step 3: Cross multiply
    778,412.79x = 1,074,209.18 × 420,716.79
  4. Step 4: Simplify right side
    778,412.79x = 451,937,835,894.55
  5. Step 5: Solve for x
    x = 451,937,835,894.55/778,412.79
  6. Step 6: Final answer
    x = 580,588.91

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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.