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Finding the Fourth Proportional to 433,347.45, 649,922.76 and 208,593.11

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Solution

The fourth proportional to 433,347.45, 649,922.76 and 208,593.11 is: 312,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,347.45 : 649,922.76 = 208,593.11 : x
  2. Step 2: Convert to fraction form
    433,347.45/649,922.76 = 208,593.11/x
  3. Step 3: Cross multiply
    433,347.45x = 649,922.76 × 208,593.11
  4. Step 4: Simplify right side
    433,347.45x = 135,569,406,518.57
  5. Step 5: Solve for x
    x = 135,569,406,518.57/433,347.45
  6. Step 6: Final answer
    x = 312,842.29

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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.