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Finding the Fourth Proportional to 433,263.52, 650,214.54 and 205,559.98

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Solution

The fourth proportional to 433,263.52, 650,214.54 and 205,559.98 is: 308,491.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,263.52 : 650,214.54 = 205,559.98 : x
  2. Step 2: Convert to fraction form
    433,263.52/650,214.54 = 205,559.98/x
  3. Step 3: Cross multiply
    433,263.52x = 650,214.54 × 205,559.98
  4. Step 4: Simplify right side
    433,263.52x = 133,658,087,838.11
  5. Step 5: Solve for x
    x = 133,658,087,838.11/433,263.52
  6. Step 6: Final answer
    x = 308,491.44

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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.