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Finding the Fourth Proportional to 233,964.80, 350,428.80 and 192,492.80

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Solution

The fourth proportional to 233,964.80, 350,428.80 and 192,492.80 is: 288,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,964.80 : 350,428.80 = 192,492.80 : x
  2. Step 2: Convert to fraction form
    233,964.80/350,428.80 = 192,492.80/x
  3. Step 3: Cross multiply
    233,964.80x = 350,428.80 × 192,492.80
  4. Step 4: Simplify right side
    233,964.80x = 67,455,020,912.64
  5. Step 5: Solve for x
    x = 67,455,020,912.64/233,964.80
  6. Step 6: Final answer
    x = 288,312.69

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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.