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Finding the Fourth Proportional to 233,298.37, 350,369.12 and 214,543.81

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Solution

The fourth proportional to 233,298.37, 350,369.12 and 214,543.81 is: 322,203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,298.37 : 350,369.12 = 214,543.81 : x
  2. Step 2: Convert to fraction form
    233,298.37/350,369.12 = 214,543.81/x
  3. Step 3: Cross multiply
    233,298.37x = 350,369.12 × 214,543.81
  4. Step 4: Simplify right side
    233,298.37x = 75,169,525,911.15
  5. Step 5: Solve for x
    x = 75,169,525,911.15/233,298.37
  6. Step 6: Final answer
    x = 322,203.39

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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.