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Finding the Fourth Proportional to 465,645.30, 642,581.82 and 258,926.28

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Solution

The fourth proportional to 465,645.30, 642,581.82 and 258,926.28 is: 357,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,645.30 : 642,581.82 = 258,926.28 : x
  2. Step 2: Convert to fraction form
    465,645.30/642,581.82 = 258,926.28/x
  3. Step 3: Cross multiply
    465,645.30x = 642,581.82 × 258,926.28
  4. Step 4: Simplify right side
    465,645.30x = 166,381,320,248.23
  5. Step 5: Solve for x
    x = 166,381,320,248.23/465,645.30
  6. Step 6: Final answer
    x = 357,313.43

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