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Finding the Fourth Proportional to 433,706.88, 650,561.16 and 284,072.40

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Solution

The fourth proportional to 433,706.88, 650,561.16 and 284,072.40 is: 426,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,706.88 : 650,561.16 = 284,072.40 : x
  2. Step 2: Convert to fraction form
    433,706.88/650,561.16 = 284,072.40/x
  3. Step 3: Cross multiply
    433,706.88x = 650,561.16 × 284,072.40
  4. Step 4: Simplify right side
    433,706.88x = 184,806,470,067.98
  5. Step 5: Solve for x
    x = 184,806,470,067.98/433,706.88
  6. Step 6: Final answer
    x = 426,109.15

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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.