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Finding the Fourth Proportional to 632,114.67, 947,974.37 and 211,292.13

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Solution

The fourth proportional to 632,114.67, 947,974.37 and 211,292.13 is: 316,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,114.67 : 947,974.37 = 211,292.13 : x
  2. Step 2: Convert to fraction form
    632,114.67/947,974.37 = 211,292.13/x
  3. Step 3: Cross multiply
    632,114.67x = 947,974.37 × 211,292.13
  4. Step 4: Simplify right side
    632,114.67x = 200,299,523,822.71
  5. Step 5: Solve for x
    x = 200,299,523,822.71/632,114.67
  6. Step 6: Final answer
    x = 316,872.13

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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.