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Finding the Fourth Proportional to 433,722.63, 650,806.35 and 209,274.48

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Solution

The fourth proportional to 433,722.63, 650,806.35 and 209,274.48 is: 314,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,722.63 : 650,806.35 = 209,274.48 : x
  2. Step 2: Convert to fraction form
    433,722.63/650,806.35 = 209,274.48/x
  3. Step 3: Cross multiply
    433,722.63x = 650,806.35 × 209,274.48
  4. Step 4: Simplify right side
    433,722.63x = 136,197,160,476.95
  5. Step 5: Solve for x
    x = 136,197,160,476.95/433,722.63
  6. Step 6: Final answer
    x = 314,019.03

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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.