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Finding the Fourth Proportional to 434,464.84, 650,848.80 and 206,435.94

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Solution

The fourth proportional to 434,464.84, 650,848.80 and 206,435.94 is: 309,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,464.84 : 650,848.80 = 206,435.94 : x
  2. Step 2: Convert to fraction form
    434,464.84/650,848.80 = 206,435.94/x
  3. Step 3: Cross multiply
    434,464.84x = 650,848.80 × 206,435.94
  4. Step 4: Simplify right side
    434,464.84x = 134,358,583,825.87
  5. Step 5: Solve for x
    x = 134,358,583,825.87/434,464.84
  6. Step 6: Final answer
    x = 309,250.76

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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.