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Finding the Fourth Proportional to 233,649.32, 350,896.54 and 214,895.72

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Solution

The fourth proportional to 233,649.32, 350,896.54 and 214,895.72 is: 322,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,649.32 : 350,896.54 = 214,895.72 : x
  2. Step 2: Convert to fraction form
    233,649.32/350,896.54 = 214,895.72/x
  3. Step 3: Cross multiply
    233,649.32x = 350,896.54 × 214,895.72
  4. Step 4: Simplify right side
    233,649.32x = 75,406,164,608.81
  5. Step 5: Solve for x
    x = 75,406,164,608.81/233,649.32
  6. Step 6: Final answer
    x = 322,732.22

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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.