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Finding the Fourth Proportional to 442,049.40, 663,419.70 and 205,421.40

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Solution

The fourth proportional to 442,049.40, 663,419.70 and 205,421.40 is: 308,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,049.40 : 663,419.70 = 205,421.40 : x
  2. Step 2: Convert to fraction form
    442,049.40/663,419.70 = 205,421.40/x
  3. Step 3: Cross multiply
    442,049.40x = 663,419.70 × 205,421.40
  4. Step 4: Simplify right side
    442,049.40x = 136,280,603,561.58
  5. Step 5: Solve for x
    x = 136,280,603,561.58/442,049.40
  6. Step 6: Final answer
    x = 308,292.70

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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.