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Finding the Fourth Proportional to 465,667.58, 642,509.01 and 271,965.38

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Solution

The fourth proportional to 465,667.58, 642,509.01 and 271,965.38 is: 375,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,667.58 : 642,509.01 = 271,965.38 : x
  2. Step 2: Convert to fraction form
    465,667.58/642,509.01 = 271,965.38/x
  3. Step 3: Cross multiply
    465,667.58x = 642,509.01 × 271,965.38
  4. Step 4: Simplify right side
    465,667.58x = 174,740,207,058.07
  5. Step 5: Solve for x
    x = 174,740,207,058.07/465,667.58
  6. Step 6: Final answer
    x = 375,246.67

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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.