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Finding the Fourth Proportional to 289,225.96, 433,084.42 and 232,757.62

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Solution

The fourth proportional to 289,225.96, 433,084.42 and 232,757.62 is: 348,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,225.96 : 433,084.42 = 232,757.62 : x
  2. Step 2: Convert to fraction form
    289,225.96/433,084.42 = 232,757.62/x
  3. Step 3: Cross multiply
    289,225.96x = 433,084.42 × 232,757.62
  4. Step 4: Simplify right side
    289,225.96x = 100,803,695,529.07
  5. Step 5: Solve for x
    x = 100,803,695,529.07/289,225.96
  6. Step 6: Final answer
    x = 348,529.22

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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.