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Finding the Fourth Proportional to 642,017.40, 963,141.30 and 268,078.20

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Solution

The fourth proportional to 642,017.40, 963,141.30 and 268,078.20 is: 402,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,017.40 : 963,141.30 = 268,078.20 : x
  2. Step 2: Convert to fraction form
    642,017.40/963,141.30 = 268,078.20/x
  3. Step 3: Cross multiply
    642,017.40x = 963,141.30 × 268,078.20
  4. Step 4: Simplify right side
    642,017.40x = 258,197,186,049.66
  5. Step 5: Solve for x
    x = 258,197,186,049.66/642,017.40
  6. Step 6: Final answer
    x = 402,165.40

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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.