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Finding the Fourth Proportional to 650,511.38, 897,705.64 and 364,086.74

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Solution

The fourth proportional to 650,511.38, 897,705.64 and 364,086.74 is: 502,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,511.38 : 897,705.64 = 364,086.74 : x
  2. Step 2: Convert to fraction form
    650,511.38/897,705.64 = 364,086.74/x
  3. Step 3: Cross multiply
    650,511.38x = 897,705.64 × 364,086.74
  4. Step 4: Simplify right side
    650,511.38x = 326,842,719,947.21
  5. Step 5: Solve for x
    x = 326,842,719,947.21/650,511.38
  6. Step 6: Final answer
    x = 502,439.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.