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Finding the Fourth Proportional to 642,405.60, 963,608.40 and 268,428.60

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Solution

The fourth proportional to 642,405.60, 963,608.40 and 268,428.60 is: 402,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,405.60 : 963,608.40 = 268,428.60 : x
  2. Step 2: Convert to fraction form
    642,405.60/963,608.40 = 268,428.60/x
  3. Step 3: Cross multiply
    642,405.60x = 963,608.40 × 268,428.60
  4. Step 4: Simplify right side
    642,405.60x = 258,660,053,760.24
  5. Step 5: Solve for x
    x = 258,660,053,760.24/642,405.60
  6. Step 6: Final answer
    x = 402,642.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.