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Finding the Fourth Proportional to 642,167, 886,786.14 and 480,741.76

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Solution

The fourth proportional to 642,167, 886,786.14 and 480,741.76 is: 663,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,167 : 886,786.14 = 480,741.76 : x
  2. Step 2: Convert to fraction form
    642,167/886,786.14 = 480,741.76/x
  3. Step 3: Cross multiply
    642,167x = 886,786.14 × 480,741.76
  4. Step 4: Simplify right side
    642,167x = 426,315,129,687.21
  5. Step 5: Solve for x
    x = 426,315,129,687.21/642,167
  6. Step 6: Final answer
    x = 663,869.57

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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.