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Finding the Fourth Proportional to 233,683, 350,524.34 and 56,189.96

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Solution

The fourth proportional to 233,683, 350,524.34 and 56,189.96 is: 84,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,683 : 350,524.34 = 56,189.96 : x
  2. Step 2: Convert to fraction form
    233,683/350,524.34 = 56,189.96/x
  3. Step 3: Cross multiply
    233,683x = 350,524.34 × 56,189.96
  4. Step 4: Simplify right side
    233,683x = 19,695,948,643.63
  5. Step 5: Solve for x
    x = 19,695,948,643.63/233,683
  6. Step 6: Final answer
    x = 84,284.90

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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.