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Finding the Fourth Proportional to 778,125.84, 1,073,813.66 and 420,429.84

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Solution

The fourth proportional to 778,125.84, 1,073,813.66 and 420,429.84 is: 580,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,125.84 : 1,073,813.66 = 420,429.84 : x
  2. Step 2: Convert to fraction form
    778,125.84/1,073,813.66 = 420,429.84/x
  3. Step 3: Cross multiply
    778,125.84x = 1,073,813.66 × 420,429.84
  4. Step 4: Simplify right side
    778,125.84x = 451,463,305,263.61
  5. Step 5: Solve for x
    x = 451,463,305,263.61/778,125.84
  6. Step 6: Final answer
    x = 580,193.18

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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.