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Finding the Fourth Proportional to 433,380.84, 649,954.78 and 152,861.16

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Solution

The fourth proportional to 433,380.84, 649,954.78 and 152,861.16 is: 229,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,380.84 : 649,954.78 = 152,861.16 : x
  2. Step 2: Convert to fraction form
    433,380.84/649,954.78 = 152,861.16/x
  3. Step 3: Cross multiply
    433,380.84x = 649,954.78 × 152,861.16
  4. Step 4: Simplify right side
    433,380.84x = 99,352,841,618.34
  5. Step 5: Solve for x
    x = 99,352,841,618.34/433,380.84
  6. Step 6: Final answer
    x = 229,250.66

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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.