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Finding the Fourth Proportional to 632,062.36, 947,895.90 and 211,239.82

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Solution

The fourth proportional to 632,062.36, 947,895.90 and 211,239.82 is: 316,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,062.36 : 947,895.90 = 211,239.82 : x
  2. Step 2: Convert to fraction form
    632,062.36/947,895.90 = 211,239.82/x
  3. Step 3: Cross multiply
    632,062.36x = 947,895.90 × 211,239.82
  4. Step 4: Simplify right side
    632,062.36x = 200,233,359,294.74
  5. Step 5: Solve for x
    x = 200,233,359,294.74/632,062.36
  6. Step 6: Final answer
    x = 316,793.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.