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Finding the Fourth Proportional to 233,485.30, 349,709.55 and 202,381.30

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Solution

The fourth proportional to 233,485.30, 349,709.55 and 202,381.30 is: 303,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,485.30 : 349,709.55 = 202,381.30 : x
  2. Step 2: Convert to fraction form
    233,485.30/349,709.55 = 202,381.30/x
  3. Step 3: Cross multiply
    233,485.30x = 349,709.55 × 202,381.30
  4. Step 4: Simplify right side
    233,485.30x = 70,774,673,351.42
  5. Step 5: Solve for x
    x = 70,774,673,351.42/233,485.30
  6. Step 6: Final answer
    x = 303,122.61

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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.