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Finding the Fourth Proportional to 778,124.84, 1,073,812.28 and 420,428.84

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Solution

The fourth proportional to 778,124.84, 1,073,812.28 and 420,428.84 is: 580,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,124.84 : 1,073,812.28 = 420,428.84 : x
  2. Step 2: Convert to fraction form
    778,124.84/1,073,812.28 = 420,428.84/x
  3. Step 3: Cross multiply
    778,124.84x = 1,073,812.28 × 420,428.84
  4. Step 4: Simplify right side
    778,124.84x = 451,461,643,786.95
  5. Step 5: Solve for x
    x = 451,461,643,786.95/778,124.84
  6. Step 6: Final answer
    x = 580,191.79

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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.