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Finding the Fourth Proportional to 433,223.01, 649,292.63 and 208,523.34

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Solution

The fourth proportional to 433,223.01, 649,292.63 and 208,523.34 is: 312,524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,223.01 : 649,292.63 = 208,523.34 : x
  2. Step 2: Convert to fraction form
    433,223.01/649,292.63 = 208,523.34/x
  3. Step 3: Cross multiply
    433,223.01x = 649,292.63 × 208,523.34
  4. Step 4: Simplify right side
    433,223.01x = 135,392,666,802.37
  5. Step 5: Solve for x
    x = 135,392,666,802.37/433,223.01
  6. Step 6: Final answer
    x = 312,524.18

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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.